%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU920^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:31:57 AM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU920^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 14:45:48 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running higher-order theorem proving
% 0.09/0.13 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
% 0.09/0.16 % (202705)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.16 % (202722)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.16 % (202722)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
% 0.09/0.16 % (202718)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3616511756:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.16 % (202717)lrs+10_16_si=on:nwc=1.5:random_seed=1666074882:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.16 % (202716)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2040151358:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.16 % (202719)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=2783856082: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)
% 0.09/0.16 % (202722)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=361251824:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.16 % (202721)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=448628324:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.16 % (202720)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4153062367:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.16 % (202718) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202705-202718"...
% 0.09/0.16 % (202717) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202705-202717"...
% 0.09/0.16 % (202716) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202705-202716"...
% 0.09/0.16 % (202719) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202705-202719"...
% 0.09/0.16 % (202721) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202705-202721"...
% 0.09/0.16 % (202722) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202705-202722"...
% 0.09/0.16 % (202720) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202705-202720"...
% 0.09/0.16 % (202716)...printing done.
% 0.09/0.16 % (202718)...printing done.
% 0.09/0.16 % (202717)...printing done.
% 0.09/0.16 % (202719)...printing done.
% 0.09/0.16 % (202721)...printing done.
% 0.09/0.16 % (202720)...printing done.
% 0.09/0.16 % (202722)...printing done.
% 0.09/0.16 % (202716)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% 0.09/0.16 thf(type_def_5, type, a: $tType).
% 0.09/0.16 thf(type_def_6, type, b: $tType).
% 0.09/0.16 thf(type_def_7, type, c: $tType).
% 0.09/0.16 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.16 thf(func_def_1, type, sK0: (b > c)).
% 0.09/0.16 thf(func_def_2, type, sK1: (a > b)).
% 0.09/0.16 thf(func_def_3, type, sK2: c).
% 0.09/0.16 thf(func_def_4, type, sK3: (c > a)).
% 0.09/0.16 thf(f1,conjecture,(
% 0.09/0.16 ! [X1 : (b > c),X0 : (a > b)] : (! [X2 : c] : ? [X3 : a] : (((X1 @ (X0 @ X3))) = X2) => ! [X2 : c] : ? [X3 : b] : (((X1 @ X3)) = X2))),
% 0.09/0.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_4_pme)).
% 0.09/0.16 thf(f2,negated_conjecture,(
% 0.09/0.16 ~ ! [X1 : (b > c),X0 : (a > b)] : (! [X2 : c] : ? [X3 : a] : (((X1 @ (X0 @ X3))) = X2) => ! [X2 : c] : ? [X3 : b] : (((X1 @ X3)) = X2))),
% 0.09/0.16 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.16 thf(f3,plain,(
% 0.09/0.16 ~ ! [X0 : (b > c),X1 : (a > b)] : (! [X2 : c] : ? [X3 : a] : (((X0 @ (X1 @ X3))) = X2) => ! [X4 : c] : ? [X5 : b] : (((X0 @ X5)) = X4))),
% 0.09/0.16 inference(rectify,[],[f2])).
% 0.09/0.16 thf(f4,plain,(
% 0.09/0.16 ? [X0 : (b > c),X1 : (a > b)] : (? [X4 : c] : ! [X5 : b] : (((X0 @ X5)) != X4) & ! [X2 : c] : ? [X3 : a] : (((X0 @ (X1 @ X3))) = X2))),
% 0.09/0.16 inference(ennf_transformation,[],[f3])).
% 0.09/0.16 thf(f5,plain,(
% 0.09/0.16 ? [X0 : (b > c),X1 : (a > b)] : (? [X2 : c] : ! [X3 : b] : (((X0 @ X3)) != X2) & ! [X4 : c] : ? [X5 : a] : (((X0 @ (X1 @ X5))) = X4))),
% 0.09/0.16 inference(rectify,[],[f4])).
% 0.09/0.16 thf(f6,plain,(
% 0.09/0.16 ! [X3 : b] : (((sK0 @ X3)) != sK2) & ! [X4 : c] : (((sK0 @ (sK1 @ (sK3 @ X4)))) = X4)),
% 0.09/0.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X5,sK3 @ X4)],[f5])).
% 0.09/0.16 thf(f7,plain,(
% 0.09/0.16 ( ! [X4 : c] : ((((sK0 @ (sK1 @ (sK3 @ X4)))) = X4)) )),
% 0.09/0.16 inference(cnf_transformation,[],[f6])).
% 0.09/0.16 thf(f8,plain,(
% 0.09/0.16 ( ! [X3 : b] : ((((sK0 @ X3)) != sK2)) )),
% 0.09/0.16 inference(cnf_transformation,[],[f6])).
% 0.09/0.16 thf(f9,plain,(
% 0.09/0.16 ( ! [X0 : c] : ((sK2 != X0)) )),
% 0.09/0.16 inference(constrained_superposition,[],[f8,f7])).
% 0.09/0.16 thf(f10,plain,(
% 0.09/0.16 (sK2 != sK2)),
% 0.09/0.16 inference(imitation,[],[f9])).
% 0.09/0.16 thf(f12,plain,(
% 0.09/0.16 $false),
% 0.09/0.16 inference(trivial_inequality_removal,[],[f10])).
% 0.09/0.16 % SZS output end Proof for theBenchmark
% 0.09/0.16 % (202716)------------------------------
% 0.09/0.16 % (202716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (202716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (202716)CaDiCaL version: 2.1.3
% 0.09/0.16 % (202716)Termination reason: Refutation
% 0.09/0.16 % (202716)Time elapsed: 0.001 s
% 0.09/0.16 % (202716)Peak memory usage: 12 MB
% 0.09/0.16 % (202716)Instructions burned: 1 (million)
% 0.09/0.16 % (202705)Success in time 0.025 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------