%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP201^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:47 AM UTC 2026
% Result : Theorem 1.21s 0.77s
% Output : Refutation 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP201^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.29 % Computer : n026.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Tue Sep 29 20:13:43 UTC 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.30/0.35 Running higher-order theorem proving
% 0.34/0.45 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/0.72 % (1117685)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.21/0.72 % (1117690)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4227095074:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.21/0.72 % (1117691)lrs+10_16_si=on:nwc=1.5:random_seed=687740378:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.21/0.72 % (1117692)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2255185902:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.21/0.72 % (1117696)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.21/0.72 % (1117696)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.21/0.72 % (1117694)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4121216824:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.21/0.72 % (1117691)Instruction limit reached!
% 1.21/0.72 % (1117691)------------------------------
% 1.21/0.72 % (1117691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.72 % (1117691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.72 % (1117691)CaDiCaL version: 2.1.3
% 1.21/0.72 % (1117691)Termination reason: Instruction limit
% 1.21/0.72 % (1117691)Termination phase: Property scanning
% 1.21/0.72 % (1117691)Time elapsed: 0.009 s
% 1.21/0.72 % (1117691)Peak memory usage: 10 MB
% 1.21/0.72 % (1117691)Instructions burned: 19 (million)
% 1.21/0.72 % (1117692)Instruction limit reached!
% 1.21/0.72 % (1117692)------------------------------
% 1.21/0.72 % (1117692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.72 % (1117692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.72 % (1117692)CaDiCaL version: 2.1.3
% 1.21/0.72 % (1117692)Termination reason: Instruction limit
% 1.21/0.72 % (1117692)Termination phase: shuffling
% 1.21/0.72 % (1117692)Time elapsed: 0.003 s
% 1.21/0.72 % (1117692)Peak memory usage: 10 MB
% 1.21/0.72 % (1117692)Instructions burned: 3 (million)
% 1.21/0.72 % (1117693)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=358807095:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.21/0.72 % (1117696)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2342468584:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.21/0.72 % (1117695)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1656202734:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.21/0.72 % (1117701)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1209145736:i=2:hud=10:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.21/0.72 % (1117694)Instruction limit reached!
% 1.21/0.72 % (1117694)------------------------------
% 1.21/0.72 % (1117694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.72 % (1117694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.72 % (1117694)CaDiCaL version: 2.1.3
% 1.21/0.72 % (1117694)Termination reason: Instruction limit
% 1.21/0.72 % (1117694)Termination phase: Property scanning
% 1.21/0.72 % (1117694)Time elapsed: 0.021 s
% 1.21/0.72 % (1117694)Peak memory usage: 10 MB
% 1.21/0.72 % (1117694)Instructions burned: 25 (million)
% 1.21/0.72 % (1117701)Instruction limit reached!
% 1.21/0.72 % (1117701)------------------------------
% 1.21/0.72 % (1117701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.72 % (1117701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.72 % (1117701)CaDiCaL version: 2.1.3
% 1.21/0.72 % (1117701)Termination reason: Instruction limit
% 1.21/0.72 % (1117701)Termination phase: shuffling
% 1.21/0.72 % (1117701)Time elapsed: 0.003 s
% 1.21/0.72 % (1117701)Peak memory usage: 10 MB
% 1.21/0.72 % (1117701)Instructions burned: 5 (million)
% 1.21/0.72 % (1117707)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.21/0.77 % (1117704)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=412530231:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/5Mi)
% 1.21/0.77 % (1117707)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1156134050:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.21/0.77 % (1117690)Instruction limit reached!
% 1.21/0.77 % (1117690)------------------------------
% 1.21/0.77 % (1117690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117690)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117690)Termination reason: Instruction limit
% 1.21/0.77 % (1117690)Termination phase: Property scanning
% 1.21/0.77 % (1117690)Time elapsed: 0.071 s
% 1.21/0.77 % (1117690)Peak memory usage: 12 MB
% 1.21/0.77 % (1117690)Instructions burned: 87 (million)
% 1.21/0.77 % (1117707)Instruction limit reached!
% 1.21/0.77 % (1117707)------------------------------
% 1.21/0.77 % (1117707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117707)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117707)Termination reason: Instruction limit
% 1.21/0.77 % (1117707)Termination phase: shuffling
% 1.21/0.77 % (1117707)Time elapsed: 0.004 s
% 1.21/0.77 % (1117707)Peak memory usage: 10 MB
% 1.21/0.77 % (1117707)Instructions burned: 8 (million)
% 1.21/0.77 % (1117704)Instruction limit reached!
% 1.21/0.77 % (1117704)------------------------------
% 1.21/0.77 % (1117704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117704)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117704)Termination reason: Instruction limit
% 1.21/0.77 % (1117704)Termination phase: shuffling
% 1.21/0.77 % (1117704)Time elapsed: 0.005 s
% 1.21/0.77 % (1117704)Peak memory usage: 10 MB
% 1.21/0.77 % (1117704)Instructions burned: 5 (million)
% 1.21/0.77 % (1117708)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1536773005:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.21/0.77 % (1117695)Instruction limit reached!
% 1.21/0.77 % (1117695)------------------------------
% 1.21/0.77 % (1117695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117695)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117695)Termination reason: Instruction limit
% 1.21/0.77 % (1117695)Termination phase: Function definition elimination
% 1.21/0.77 % (1117695)Time elapsed: 0.064 s
% 1.21/0.77 % (1117695)Peak memory usage: 12 MB
% 1.21/0.77 % (1117695)Instructions burned: 75 (million)
% 1.21/0.77 % (1117711)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.21/0.77 % (1117711)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.21/0.77 % (1117708)Instruction limit reached!
% 1.21/0.77 % (1117708)------------------------------
% 1.21/0.77 % (1117708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117708)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117708)Termination reason: Instruction limit
% 1.21/0.77 % (1117708)Termination phase: shuffling
% 1.21/0.77 % (1117708)Time elapsed: 0.011 s
% 1.21/0.77 % (1117708)Peak memory usage: 10 MB
% 1.21/0.77 % (1117708)Instructions burned: 12 (million)
% 1.21/0.77 % (1117711)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=118665670:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.21/0.77 % (1117712)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2928991466:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.21/0.77 % (1117713)lrs+10_1_si=on:cs=on:random_seed=373677265:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.21/0.77 % (1117713)Instruction limit reached!
% 1.21/0.77 % (1117713)------------------------------
% 1.21/0.77 % (1117713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117713)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117713)Termination reason: Instruction limit
% 1.21/0.77 % (1117713)Termination phase: shuffling
% 1.21/0.77 % (1117713)Time elapsed: 0.007 s
% 1.21/0.77 % (1117713)Peak memory usage: 10 MB
% 1.21/0.77 % (1117713)Instructions burned: 8 (million)
% 1.21/0.77 % (1117716)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2618360141:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.21/0.77 % (1117715)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.21/0.77 % (1117711)Instruction limit reached!
% 1.21/0.77 % (1117711)------------------------------
% 1.21/0.77 % (1117711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117711)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117711)Termination reason: Instruction limit
% 1.21/0.77 % (1117711)Termination phase: shuffling
% 1.21/0.77 % (1117711)Time elapsed: 0.025 s
% 1.21/0.77 % (1117711)Peak memory usage: 10 MB
% 1.21/0.77 % (1117711)Instructions burned: 29 (million)
% 1.21/0.77 % (1117715)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2970453838:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.21/0.77 % (1117715)Instruction limit reached!
% 1.21/0.77 % (1117715)------------------------------
% 1.21/0.77 % (1117715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117715)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117715)Termination reason: Instruction limit
% 1.21/0.77 % (1117715)Termination phase: shuffling
% 1.21/0.77 % (1117715)Time elapsed: 0.003 s
% 1.21/0.77 % (1117715)Peak memory usage: 10 MB
% 1.21/0.77 % (1117715)Instructions burned: 3 (million)
% 1.21/0.77 % (1117716)Instruction limit reached!
% 1.21/0.77 % (1117716)------------------------------
% 1.21/0.77 % (1117716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117716)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117716)Termination reason: Instruction limit
% 1.21/0.77 % (1117716)Termination phase: Preprocessing 2
% 1.21/0.77 % (1117716)Time elapsed: 0.017 s
% 1.21/0.77 % (1117716)Peak memory usage: 11 MB
% 1.21/0.77 % (1117716)Instructions burned: 39 (million)
% 1.21/0.77 % (1117720)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1789459541:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.21/0.77 % (1117725)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=584257378:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 1.21/0.77 % (1117723)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3701981021:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/25Mi)
% 1.21/0.77 % (1117696)Instruction limit reached!
% 1.21/0.77 % (1117696)------------------------------
% 1.21/0.77 % (1117696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117696)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117696)Termination reason: Instruction limit
% 1.21/0.77 % (1117696)Termination phase: Saturation
% 1.21/0.77 % (1117696)Time elapsed: 0.129 s
% 1.21/0.77 % (1117696)Peak memory usage: 14 MB
% 1.21/0.77 % (1117696)Instructions burned: 157 (million)
% 1.21/0.77 % (1117724)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2041557807:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.21/0.77 % (1117712)Instruction limit reached!
% 1.21/0.77 % (1117712)------------------------------
% 1.21/0.77 % (1117712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117712)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117712)Termination reason: Instruction limit
% 1.21/0.77 % (1117712)Termination phase: Property scanning
% 1.21/0.77 % (1117712)Time elapsed: 0.073 s
% 1.21/0.77 % (1117712)Peak memory usage: 11 MB
% 1.21/0.77 % (1117712)Instructions burned: 87 (million)
% 1.21/0.77 % (1117724)Instruction limit reached!
% 1.21/0.77 % (1117724)------------------------------
% 1.21/0.77 % (1117724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117724)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117724)Termination reason: Instruction limit
% 1.21/0.77 % (1117724)Termination phase: shuffling
% 1.21/0.77 % (1117724)Time elapsed: 0.013 s
% 1.21/0.77 % (1117724)Peak memory usage: 10 MB
% 1.21/0.77 % (1117724)Instructions burned: 15 (million)
% 1.21/0.77 % (1117723)Instruction limit reached!
% 1.21/0.77 % (1117723)------------------------------
% 1.21/0.77 % (1117723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117723)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117723)Termination reason: Instruction limit
% 1.21/0.77 % (1117723)Termination phase: Property scanning
% 1.21/0.77 % (1117723)Time elapsed: 0.022 s
% 1.21/0.77 % (1117723)Peak memory usage: 10 MB
% 1.21/0.77 % (1117723)Instructions burned: 26 (million)
% 1.21/0.77 % (1117729)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=735955102:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.21/0.77 % (1117729)Instruction limit reached!
% 1.21/0.77 % (1117729)------------------------------
% 1.21/0.77 % (1117729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117729)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117729)Termination reason: Instruction limit
% 1.21/0.77 % (1117729)Termination phase: shuffling
% 1.21/0.77 % (1117729)Time elapsed: 0.013 s
% 1.21/0.77 % (1117729)Peak memory usage: 10 MB
% 1.21/0.77 % (1117729)Instructions burned: 15 (million)
% 1.21/0.77 % (1117732)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1378611295:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.21/0.77 % (1117731)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2839360300:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.21/0.77 % (1117733)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1938782279:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.21/0.77 % (1117731)Instruction limit reached!
% 1.21/0.77 % (1117731)------------------------------
% 1.21/0.77 % (1117731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.77 % (1117731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.77 % (1117731)CaDiCaL version: 2.1.3
% 1.21/0.77 % (1117731)Termination reason: Instruction limit
% 1.21/0.77 % (1117731)Termination phase: shuffling
% 1.21/0.77 % (1117731)Time elapsed: 0.003 s
% 1.21/0.77 % (1117731)Peak memory usage: 10 MB
% 1.21/0.77 % (1117731)Instructions burned: 2 (million)
% 1.21/0.77 % (1117720) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1117685-1117720"...
% 1.21/0.77 % (1117720)...printing done.
% 1.21/0.77 % (1117720)Refutation found. Thanks to Tanya!
% 1.21/0.77 % SZS status Theorem for theBenchmark
% 1.21/0.77 % SZS output start Proof for theBenchmark
% 1.21/0.77 thf(type_def_5, type, produc1418842292n_game: $tType).
% 1.21/0.77 thf(type_def_6, type, produc2038871085e_real: $tType).
% 1.21/0.77 thf(type_def_7, type, produc1794985442e_real: $tType).
% 1.21/0.77 thf(type_def_8, type, produc1755325794riable: $tType).
% 1.21/0.77 thf(type_def_9, type, set_Pr166476775n_game: $tType).
% 1.21/0.77 thf(type_def_10, type, produc1078154247n_game: $tType).
% 1.21/0.77 thf(type_def_11, type, produc735959047riable: $tType).
% 1.21/0.77 thf(type_def_12, type, produc432717079riable: $tType).
% 1.21/0.77 thf(type_def_13, type, set_variable_real: $tType).
% 1.21/0.77 thf(type_def_14, type, option_game: $tType).
% 1.21/0.77 thf(type_def_15, type, denotational_interp: $tType).
% 1.21/0.77 thf(type_def_16, type, set_variable: $tType).
% 1.21/0.77 thf(type_def_17, type, variable: $tType).
% 1.21/0.77 thf(type_def_18, type, game: $tType).
% 1.21/0.77 thf(type_def_19, type, real: $tType).
% 1.21/0.77 thf(type_def_20, type, sTfun: ($tType * $tType) > $tType).
% 1.21/0.77 thf(func_def_0, type, denota1419872369iation: ((variable > real) > (variable > real) > set_variable > $o)).
% 1.21/0.77 thf(func_def_1, type, denota1245701238me_sem: (denotational_interp > game > set_variable_real > set_variable_real)).
% 1.21/0.77 thf(func_def_2, type, uminus970116630real_o: (((variable > real) > $o) > (variable > real) > $o)).
% 1.21/0.77 thf(func_def_3, type, uminus679091071game_o: ((produc1078154247n_game > $o) > produc1078154247n_game > $o)).
% 1.21/0.77 thf(func_def_4, type, uminus1666842273able_o: ((variable > $o) > variable > $o)).
% 1.21/0.77 thf(func_def_5, type, uminus_uminus_o: ($o > $o)).
% 1.21/0.77 thf(func_def_6, type, uminus501400228e_real: (produc2038871085e_real > produc2038871085e_real)).
% 1.21/0.77 thf(func_def_7, type, uminus2115124697riable: (produc1755325794riable > produc1755325794riable)).
% 1.21/0.77 thf(func_def_8, type, uminus7300697e_real: (produc1794985442e_real > produc1794985442e_real)).
% 1.21/0.77 thf(func_def_9, type, uminus269410190riable: (produc432717079riable > produc432717079riable)).
% 1.21/0.77 thf(func_def_10, type, uminus430703407e_real: (set_variable_real > set_variable_real)).
% 1.21/0.77 thf(func_def_11, type, uminus2030647006n_game: (set_Pr166476775n_game > set_Pr166476775n_game)).
% 1.21/0.77 thf(func_def_12, type, uminus1851247844riable: (set_variable > set_variable)).
% 1.21/0.77 thf(func_def_13, type, sup_su1685293586e_real: (set_variable_real > set_variable_real > set_variable_real)).
% 1.21/0.77 thf(func_def_14, type, sup_sup_set_variable: (set_variable > set_variable > set_variable)).
% 1.21/0.77 thf(func_def_15, type, none_game: option_game).
% 1.21/0.77 thf(func_def_16, type, the_game: (option_game > game)).
% 1.21/0.77 thf(func_def_17, type, ord_le1354144447real_o: (((variable > real) > $o) > ((variable > real) > $o) > $o)).
% 1.21/0.77 thf(func_def_18, type, ord_le2134856704game_o: ((set_variable > option_game > $o) > (set_variable > option_game > $o) > $o)).
% 1.21/0.77 thf(func_def_19, type, ord_le1407353162able_o: ((variable > $o) > (variable > $o) > $o)).
% 1.21/0.77 thf(func_def_20, type, ord_le1113654598e_real: (set_variable_real > set_variable_real > $o)).
% 1.21/0.77 thf(func_def_21, type, ord_le17855367n_game: (set_Pr166476775n_game > set_Pr166476775n_game > $o)).
% 1.21/0.77 thf(func_def_22, type, ord_le282106107riable: (set_variable > set_variable > $o)).
% 1.21/0.77 thf(func_def_23, type, produc1140431679riable: (option_game > set_variable > produc735959047riable)).
% 1.21/0.77 thf(func_def_24, type, produc86945893e_real: (set_variable_real > set_variable_real > produc2038871085e_real)).
% 1.21/0.77 thf(func_def_25, type, produc544095770riable: (set_variable_real > set_variable > produc1755325794riable)).
% 1.21/0.77 thf(func_def_26, type, produc1149443391n_game: (set_variable > option_game > produc1078154247n_game)).
% 1.21/0.77 thf(func_def_27, type, produc1400669210e_real: (set_variable > set_variable_real > produc1794985442e_real)).
% 1.21/0.77 thf(func_def_28, type, produc1766592463riable: (set_variable > set_variable > produc432717079riable)).
% 1.21/0.77 thf(func_def_29, type, produc884810027riable: (produc735959047riable > option_game)).
% 1.21/0.77 thf(func_def_30, type, produc702045265e_real: (produc2038871085e_real > set_variable_real)).
% 1.21/0.77 thf(func_def_31, type, produc944271878riable: (produc1755325794riable > set_variable_real)).
% 1.21/0.77 thf(func_def_32, type, produc893821739n_game: (produc1078154247n_game > set_variable)).
% 1.21/0.77 thf(func_def_33, type, produc1800845318e_real: (produc1794985442e_real > set_variable)).
% 1.21/0.77 thf(func_def_34, type, produc1300679611riable: (produc432717079riable > set_variable)).
% 1.21/0.77 thf(func_def_35, type, produc284475501riable: (produc735959047riable > set_variable)).
% 1.21/0.77 thf(func_def_36, type, produc220849299e_real: (produc2038871085e_real > set_variable_real)).
% 1.21/0.77 thf(func_def_37, type, produc1192298056riable: (produc1755325794riable > set_variable)).
% 1.21/0.77 thf(func_def_38, type, produc293487213n_game: (produc1078154247n_game > option_game)).
% 1.21/0.77 thf(func_def_39, type, produc2048871496e_real: (produc1794985442e_real > set_variable_real)).
% 1.21/0.77 thf(func_def_40, type, produc319712253riable: (produc432717079riable > set_variable)).
% 1.21/0.77 thf(func_def_41, type, produc345397471riable: (produc735959047riable > produc1078154247n_game)).
% 1.21/0.77 thf(func_def_42, type, produc354409183n_game: (produc1078154247n_game > produc735959047riable)).
% 1.21/0.77 thf(func_def_43, type, collec633296133e_real: (((variable > real) > $o) > set_variable_real)).
% 1.21/0.77 thf(func_def_44, type, collec1702522994n_game: ((produc1078154247n_game > $o) > set_Pr166476775n_game)).
% 1.21/0.77 thf(func_def_45, type, collect_variable: ((variable > $o) > set_variable)).
% 1.21/0.77 thf(func_def_46, type, skip: game).
% 1.21/0.77 thf(func_def_47, type, choice: (game > game > game)).
% 1.21/0.77 thf(func_def_48, type, dual: (game > game)).
% 1.21/0.77 thf(func_def_49, type, loop: (game > game)).
% 1.21/0.77 thf(func_def_50, type, uSubst1484167963hoiceo: (option_game > option_game > option_game)).
% 1.21/0.77 thf(func_def_51, type, uSubst1916713664_Dualo: (option_game > option_game)).
% 1.21/0.77 thf(func_def_52, type, uSubst23177304_Loopo: (option_game > option_game)).
% 1.21/0.77 thf(func_def_53, type, uSubst1599435252djoint: (produc1418842292n_game > denotational_interp > (variable > real) > denotational_interp)).
% 1.21/0.77 thf(func_def_54, type, uSubst516392814stappp: (produc1418842292n_game > set_variable > game > produc1078154247n_game)).
% 1.21/0.77 thf(func_def_55, type, member_variable_real: ((variable > real) > set_variable_real > $o)).
% 1.21/0.77 thf(func_def_56, type, member171223600n_game: (produc1078154247n_game > set_Pr166476775n_game > $o)).
% 1.21/0.77 thf(func_def_57, type, member_variable: (variable > set_variable > $o)).
% 1.21/0.77 thf(func_def_58, type, i: denotational_interp).
% 1.21/0.77 thf(func_def_59, type, u: set_variable).
% 1.21/0.77 thf(func_def_60, type, ua: set_variable).
% 1.21/0.77 thf(func_def_61, type, xa: set_variable_real).
% 1.21/0.77 thf(func_def_62, type, alpha: game).
% 1.21/0.77 thf(func_def_63, type, nu: (variable > real)).
% 1.21/0.77 thf(func_def_64, type, nu2: (variable > real)).
% 1.21/0.77 thf(func_def_65, type, omega: (variable > real)).
% 1.21/0.77 thf(func_def_66, type, omega2: (variable > real)).
% 1.21/0.77 thf(func_def_67, type, sigma: produc1418842292n_game).
% 1.21/0.77 thf(func_def_71, type, db1: !>[X0: $tType]:(X0)).
% 1.21/0.77 thf(func_def_72, type, db0: !>[X0: $tType]:(X0)).
% 1.21/0.77 thf(func_def_73, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.21/0.77 thf(func_def_74, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.21/0.77 thf(func_def_75, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.21/0.77 thf(func_def_76, type, vIMP: ($o > $o > $o)).
% 1.21/0.77 thf(func_def_77, type, vNOT: ($o > $o)).
% 1.21/0.77 thf(func_def_78, type, db3: !>[X0: $tType]:(X0)).
% 1.21/0.77 thf(func_def_79, type, db2: !>[X0: $tType]:(X0)).
% 1.21/0.77 thf(func_def_80, type, vAND: ($o > $o > $o)).
% 1.21/0.77 thf(func_def_81, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.21/0.77 thf(func_def_82, type, vOR: ($o > $o > $o)).
% 1.21/0.77 thf(func_def_83, type, sK0: (set_variable > produc1418842292n_game > denotational_interp > game > set_variable_real)).
% 1.21/0.77 thf(func_def_84, type, sK1: (set_variable > produc1418842292n_game > denotational_interp > game > variable > real)).
% 1.21/0.77 thf(func_def_85, type, sK2: (set_variable > produc1418842292n_game > denotational_interp > game > variable > real)).
% 1.21/0.77 thf(func_def_86, type, sK3: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_87, type, sK4: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_88, type, sK5: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_89, type, sK6: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_90, type, sK7: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_91, type, sK8: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_92, type, sK9: (set_variable_real > set_variable_real > variable > real)).
% 1.21/0.77 thf(func_def_93, type, sK10: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_94, type, sK11: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_95, type, sK12: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_96, type, sK13: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_97, type, sK14: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_98, type, sK15: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_99, type, sK16: ((produc1078154247n_game > $o) > option_game)).
% 1.21/0.77 thf(func_def_100, type, sK17: ((produc1078154247n_game > $o) > set_variable)).
% 1.21/0.77 thf(func_def_101, type, sK18: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_102, type, sK19: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_103, type, sK20: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_104, type, sK21: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_105, type, sK22: (produc1078154247n_game > option_game)).
% 1.21/0.77 thf(func_def_106, type, sK23: (produc1078154247n_game > set_variable)).
% 1.21/0.77 thf(func_def_107, type, sK24: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_108, type, sK25: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_109, type, sK26: (produc1078154247n_game > set_variable)).
% 1.21/0.77 thf(func_def_110, type, sK27: (produc1078154247n_game > option_game)).
% 1.21/0.77 thf(func_def_111, type, sK28: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_112, type, sK29: ((set_variable_real > set_variable) > set_variable_real)).
% 1.21/0.77 thf(func_def_113, type, sK30: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_114, type, sK31: ((set_variable_real > set_variable_real) > set_variable_real)).
% 1.21/0.77 thf(func_def_115, type, sK32: ((produc1078154247n_game > $o) > option_game)).
% 1.21/0.77 thf(func_def_116, type, sK33: ((produc1078154247n_game > $o) > set_variable)).
% 1.21/0.77 thf(func_def_117, type, sK34: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_118, type, sK35: ((set_variable > set_variable_real) > set_variable)).
% 1.21/0.77 thf(func_def_119, type, sK36: (((variable > real) > $o) > set_variable_real > ((variable > real) > $o) > variable > real)).
% 1.21/0.77 thf(func_def_120, type, sK37: ((option_game > set_variable > $o) > option_game)).
% 1.21/0.77 thf(func_def_121, type, sK38: ((option_game > set_variable > $o) > set_variable)).
% 1.21/0.77 thf(f1,axiom,(
% 1.21/0.77 ! [X0 : set_variable_real] : (((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0))) = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0))))),
% 1.21/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__vidvnmlwwz_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062)).
% 1.21/0.77 thf(f11,axiom,(
% 1.21/0.77 ! [X1 : set_variable_real,X0 : (variable > real)] : (~(member_variable_real @ X0 @ X1) => (member_variable_real @ X0 @ (uminus430703407e_real @ X1)))),
% 1.21/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_ComplI)).
% 1.21/0.77 thf(f34,axiom,(
% 1.21/0.77 ! [X1 : set_variable_real,X0 : (variable > real)] : ((member_variable_real @ X0 @ (uminus430703407e_real @ X1)) => ~(member_variable_real @ X0 @ X1))),
% 1.21/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_ComplD)).
% 1.21/0.77 thf(f355,conjecture,(
% 1.21/0.77 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))))),
% 1.21/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.21/0.77 thf(f356,negated_conjecture,(
% 1.21/0.77 ~ (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))))),
% 1.21/0.77 inference(negated_conjecture,[status(cth)],[f355])).
% 1.21/0.77 thf(f582,plain,(
% 1.21/0.77 ! [X0 : set_variable_real,X1 : (variable > real)] : (~(member_variable_real @ X1 @ X0) => (member_variable_real @ X1 @ (uminus430703407e_real @ X0)))),
% 1.21/0.77 inference(rectify,[],[f11])).
% 1.21/0.77 thf(f583,plain,(
% 1.21/0.77 ! [X0 : set_variable_real,X1 : (variable > real)] : (~ (((member_variable_real @ X1 @ X0)) = $true) => (((member_variable_real @ X1 @ (uminus430703407e_real @ X0))) = $true))),
% 1.21/0.77 inference(fool_elimination,[],[f582])).
% 1.21/0.77 thf(f842,plain,(
% 1.21/0.77 ! [X0 : set_variable_real,X1 : (variable > real)] : ((member_variable_real @ X1 @ (uminus430703407e_real @ X0)) => ~(member_variable_real @ X1 @ X0))),
% 1.21/0.77 inference(rectify,[],[f34])).
% 1.21/0.77 thf(f843,plain,(
% 1.21/0.77 ! [X0 : set_variable_real,X1 : (variable > real)] : ((((member_variable_real @ X1 @ (uminus430703407e_real @ X0))) = $true) => ~ (((member_variable_real @ X1 @ X0)) = $true))),
% 1.21/0.77 inference(fool_elimination,[],[f842])).
% 1.21/0.77 thf(f860,plain,(
% 1.21/0.77 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) != ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))))),
% 1.21/0.77 inference(flattening,[],[f356])).
% 1.21/0.77 thf(f862,plain,(
% 1.21/0.77 ! [X0 : set_variable_real,X1 : (variable > real)] : ((((member_variable_real @ X1 @ (uminus430703407e_real @ X0))) = $true) => (((member_variable_real @ X1 @ X0)) != $true))),
% 1.21/0.77 inference(flattening,[],[f843])).
% 1.21/0.77 thf(f863,plain,(
% 1.21/0.77 ! [X0 : set_variable_real,X1 : (variable > real)] : ((((member_variable_real @ X1 @ X0)) != $true) => (((member_variable_real @ X1 @ (uminus430703407e_real @ X0))) = $true))),
% 1.21/0.77 inference(flattening,[],[f583])).
% 1.21/0.77 thf(f874,plain,(
% 1.21/0.77 ! [X1 : (variable > real),X0 : set_variable_real] : ((((member_variable_real @ X1 @ X0)) != $true) | (((member_variable_real @ X1 @ (uminus430703407e_real @ X0))) != $true))),
% 1.21/0.77 inference(ennf_transformation,[],[f862])).
% 1.21/0.77 thf(f960,plain,(
% 1.21/0.77 ! [X1 : (variable > real),X0 : set_variable_real] : ((((member_variable_real @ X1 @ X0)) = $true) | (((member_variable_real @ X1 @ (uminus430703407e_real @ X0))) = $true))),
% 1.21/0.77 inference(ennf_transformation,[],[f863])).
% 1.21/0.77 thf(f1028,plain,(
% 1.21/0.77 ! [X0 : (variable > real),X1 : set_variable_real] : ((((member_variable_real @ X0 @ X1)) = $true) | (((member_variable_real @ X0 @ (uminus430703407e_real @ X1))) = $true))),
% 1.21/0.77 inference(rectify,[],[f960])).
% 1.21/0.77 thf(f1040,plain,(
% 1.21/0.77 ! [X0 : (variable > real),X1 : set_variable_real] : ((((member_variable_real @ X0 @ X1)) != $true) | (((member_variable_real @ X0 @ (uminus430703407e_real @ X1))) != $true))),
% 1.21/0.77 inference(rectify,[],[f874])).
% 1.21/0.77 thf(f1063,plain,(
% 1.21/0.77 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) != ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))))),
% 1.21/0.77 inference(cnf_transformation,[],[f860])).
% 1.21/0.77 thf(f1121,plain,(
% 1.21/0.77 ( ! [X0 : set_variable_real] : ((((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X0))) = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X0))))) )),
% 1.21/0.77 inference(cnf_transformation,[],[f1])).
% 1.21/0.77 thf(f1130,plain,(
% 1.21/0.77 ( ! [X0 : (variable > real),X1 : set_variable_real] : ((((member_variable_real @ X0 @ (uminus430703407e_real @ X1))) = $true) | (((member_variable_real @ X0 @ X1)) = $true)) )),
% 1.21/0.77 inference(cnf_transformation,[],[f1028])).
% 1.21/0.77 thf(f1151,plain,(
% 1.21/0.77 ( ! [X0 : (variable > real),X1 : set_variable_real] : ((((member_variable_real @ X0 @ (uminus430703407e_real @ X1))) != $true) | (((member_variable_real @ X0 @ X1)) != $true)) )),
% 1.21/0.77 inference(cnf_transformation,[],[f1040])).
% 1.21/0.77 thf(f1160,definition,(
% 1.21/0.77 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.21/0.77 introduced(theory,[fool_exhaustiveness_axiom])).
% 1.21/0.77 thf(f1188,plain,(
% 1.21/0.77 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $true) | (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = $true)),
% 1.21/0.78 inference(xor_proxy_clausification,[],[f1063])).
% 1.21/0.78 thf(f1189,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = $false) | (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $false)),
% 1.21/0.78 inference(xor_proxy_clausification,[],[f1063])).
% 1.21/0.78 thf(f1191,definition,(
% 1.21/0.78 spl39_1 <=> (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = $false)),
% 1.21/0.78 introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition])).
% 1.21/0.78 thf(f1193,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = $false) | ~spl39_1),
% 1.21/0.78 inference(avatar_component_clause,[],[f1191])).
% 1.21/0.78 thf(f1195,definition,(
% 1.21/0.78 spl39_2 <=> (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $false)),
% 1.21/0.78 introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition])).
% 1.21/0.78 thf(f1197,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $false) | ~spl39_2),
% 1.21/0.78 inference(avatar_component_clause,[],[f1195])).
% 1.21/0.78 thf(f1198,plain,(
% 1.21/0.78 spl39_1 | spl39_2),
% 1.21/0.78 inference(avatar_split_clause,[],[f1189,f1195,f1191])).
% 1.21/0.78 thf(f1200,definition,(
% 1.21/0.78 spl39_3 <=> (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $true)),
% 1.21/0.78 introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition])).
% 1.21/0.78 thf(f1201,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) != $true) | spl39_3),
% 1.21/0.78 inference(avatar_component_clause,[],[f1200])).
% 1.21/0.78 thf(f1202,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $true) | ~spl39_3),
% 1.21/0.78 inference(avatar_component_clause,[],[f1200])).
% 1.21/0.78 thf(f1204,definition,(
% 1.21/0.78 spl39_4 <=> (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = $true)),
% 1.21/0.78 introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition])).
% 1.21/0.78 thf(f1206,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) = $true) | ~spl39_4),
% 1.21/0.78 inference(avatar_component_clause,[],[f1204])).
% 1.21/0.78 thf(f1207,plain,(
% 1.21/0.78 spl39_3 | spl39_4),
% 1.21/0.78 inference(avatar_split_clause,[],[f1188,f1204,f1200])).
% 1.21/0.78 thf(f1208,plain,(
% 1.21/0.78 ($true = $false) | ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) | ~spl39_2),
% 1.21/0.78 inference(superposition,[],[f1197,f1130])).
% 1.21/0.78 thf(f1213,plain,(
% 1.21/0.78 ($true = $false) | ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) | ~spl39_2),
% 1.21/0.78 inference(superposition,[],[f1130,f1197])).
% 1.21/0.78 thf(f1218,plain,(
% 1.21/0.78 ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) | ~spl39_2),
% 1.21/0.78 inference(trivial_inequality_removal,[],[f1208])).
% 1.21/0.78 thf(f1223,plain,(
% 1.21/0.78 ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) | ~spl39_2),
% 1.21/0.78 inference(forward_demodulation,[],[f1218,f1121])).
% 1.21/0.78 thf(f1227,plain,(
% 1.21/0.78 ($true != ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) | ($true != $true) | ~spl39_3),
% 1.21/0.78 inference(superposition,[],[f1151,f1202])).
% 1.21/0.78 thf(f1232,plain,(
% 1.21/0.78 ($true != ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) | ~spl39_3),
% 1.21/0.78 inference(trivial_inequality_removal,[],[f1227])).
% 1.21/0.78 thf(f1233,plain,(
% 1.21/0.78 ($true != ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) | ~spl39_3),
% 1.21/0.78 inference(forward_demodulation,[],[f1232,f1121])).
% 1.21/0.78 thf(f1234,plain,(
% 1.21/0.78 $false | (~spl39_2 | ~spl39_3)),
% 1.21/0.78 inference(forward_subsumption_resolution,[],[f1233,f1223])).
% 1.21/0.78 thf(f1235,plain,(
% 1.21/0.78 ~spl39_2 | ~spl39_3),
% 1.21/0.78 inference(avatar_contradiction_clause,[],[f1234])).
% 1.21/0.78 thf(f1269,plain,(
% 1.21/0.78 ($true = $false) | ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) | ~spl39_1),
% 1.21/0.78 inference(superposition,[],[f1130,f1193])).
% 1.21/0.78 thf(f1275,plain,(
% 1.21/0.78 ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) | ~spl39_1),
% 1.21/0.78 inference(trivial_inequality_removal,[],[f1269])).
% 1.21/0.78 thf(f1281,plain,(
% 1.21/0.78 $false | (~spl39_1 | ~spl39_3)),
% 1.21/0.78 inference(forward_subsumption_resolution,[],[f1275,f1233])).
% 1.21/0.78 thf(f1282,plain,(
% 1.21/0.78 ~spl39_1 | ~spl39_3),
% 1.21/0.78 inference(avatar_contradiction_clause,[],[f1281])).
% 1.21/0.78 thf(f1288,plain,(
% 1.21/0.78 ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) | ~spl39_2),
% 1.21/0.78 inference(trivial_inequality_removal,[],[f1213])).
% 1.21/0.78 thf(f1292,plain,(
% 1.21/0.78 ($true = ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) | ~spl39_2),
% 1.21/0.78 inference(forward_demodulation,[],[f1288,f1121])).
% 1.21/0.78 thf(f1342,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $false) | ($true != $true) | spl39_3),
% 1.21/0.78 inference(superposition,[],[f1201,f1160])).
% 1.21/0.78 thf(f1345,plain,(
% 1.21/0.78 (((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))) = $false) | spl39_3),
% 1.21/0.78 inference(trivial_inequality_removal,[],[f1342])).
% 1.21/0.78 thf(f1357,plain,(
% 1.21/0.78 ($true != $true) | ($true != ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) | ~spl39_4),
% 1.21/0.78 inference(superposition,[],[f1151,f1206])).
% 1.21/0.78 thf(f1358,plain,(
% 1.21/0.78 ($true != ((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))) | ~spl39_4),
% 1.21/0.78 inference(trivial_inequality_removal,[],[f1357])).
% 1.21/0.78 thf(f1362,plain,(
% 1.21/0.78 $false | (~spl39_2 | ~spl39_4)),
% 1.21/0.78 inference(forward_subsumption_resolution,[],[f1358,f1292])).
% 1.21/0.78 thf(f1363,plain,(
% 1.21/0.78 ~spl39_2 | ~spl39_4),
% 1.21/0.78 inference(avatar_contradiction_clause,[],[f1362])).
% 1.21/0.78 thf(f1366,plain,(
% 1.21/0.78 spl39_2 | spl39_3),
% 1.21/0.78 inference(avatar_split_clause,[],[f1345,f1200,f1195])).
% 1.21/0.78 cnf(s1, plain, spl39_1 | spl39_2, inference(sat_conversion,[],[f1198])).
% 1.21/0.78 cnf(s2, plain, spl39_3 | spl39_4, inference(sat_conversion,[],[f1207])).
% 1.21/0.78 cnf(s5, plain, ~spl39_2 | ~spl39_3, inference(sat_conversion,[],[f1235])).
% 1.21/0.78 cnf(s9, plain, ~spl39_1 | ~spl39_3, inference(sat_conversion,[],[f1282])).
% 1.21/0.78 cnf(s12, plain, ~spl39_2 | ~spl39_4, inference(sat_conversion,[],[f1363])).
% 1.21/0.78 cnf(s13, plain, spl39_2 | spl39_3, inference(sat_conversion,[],[f1366])).
% 1.21/0.78 cnf(s15, plain, ~spl39_2, inference(rat,[],[s2,s5,s12])).
% 1.21/0.78 cnf(s16, plain, spl39_3, inference(rat,[],[s13,s15])).
% 1.21/0.78 cnf(s17, plain, spl39_1, inference(rat,[],[s1,s15])).
% 1.21/0.78 cnf(s18, plain, $false, inference(rat,[],[s9,s16,s17])).
% 1.21/0.78 thf(f1369,plain,(
% 1.21/0.78 $false),
% 1.21/0.78 inference(avatar_sat_refutation,[],[s18])).
% 1.21/0.78 % SZS output end Proof for theBenchmark
% 1.21/0.78 % (1117720)------------------------------
% 1.21/0.78 % (1117720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.78 % (1117720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.78 % (1117720)CaDiCaL version: 2.1.3
% 1.21/0.78 % (1117720)Termination reason: Refutation
% 1.21/0.78 % (1117720)Time elapsed: 0.076 s
% 1.21/0.78 % (1117720)Peak memory usage: 14 MB
% 1.21/0.78 % (1117720)Instructions burned: 86 (million)
% 1.21/0.78 % (1117685)Success in time 0.306 s
% 1.21/0.78 % Vampire exiting
%------------------------------------------------------------------------------