%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO377^5 : 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 : n003.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 08:47:33 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO377^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 16:51:29 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.19/0.27 % (2746176)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.27 % (2746187)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2885209246:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.27 % (2746187)Refutation not found, incomplete strategy
% 0.19/0.27 % (2746187)------------------------------
% 0.19/0.27 % (2746187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2746187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2746187)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2746187)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.27 % (2746187)Time elapsed: 0.0000 s
% 0.19/0.27 % (2746187)Peak memory usage: 12 MB
% 0.19/0.27 % (2746187)------------------------------
% 0.19/0.27 % (2746187)------------------------------
% 0.19/0.27 % (2746191)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.27 % (2746191)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
% 0.19/0.27 % (2746185)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=232909384:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.27 % (2746186)lrs+10_16_si=on:nwc=1.5:random_seed=3319197115:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.27 % (2746189)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2912389337:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.27 % (2746188)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=4152563962: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)
% 0.19/0.27 % (2746191)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=3379702260:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.27 % (2746190)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4030280944:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.27 % (2746185)Refutation not found, incomplete strategy
% 0.19/0.27 % (2746185)------------------------------
% 0.19/0.27 % (2746185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2746185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2746186)Refutation not found, incomplete strategy
% 0.19/0.27 % (2746186)------------------------------
% 0.19/0.27 % (2746186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2746186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2746185)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2746185)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.27 % (2746185)Time elapsed: 0.001 s
% 0.19/0.27 % (2746185)Peak memory usage: 12 MB
% 0.19/0.27 % (2746186)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2746186)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.27 % (2746186)Time elapsed: 0.001 s
% 0.19/0.27 % (2746186)Peak memory usage: 12 MB
% 0.19/0.27 % (2746189) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746176-2746189"...
% 0.19/0.27 % (2746185)------------------------------
% 0.19/0.27 % (2746185)------------------------------
% 0.19/0.27 % (2746186)------------------------------
% 0.19/0.27 % (2746186)------------------------------
% 0.19/0.27 % (2746188) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746176-2746188"...
% 0.19/0.27 % (2746190) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746176-2746190"...
% 0.19/0.27 % (2746189)...printing done.
% 0.19/0.27 % (2746196)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=405182451:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.27 % (2746188)...printing done.
% 0.19/0.27 % (2746190)...printing done.
% 0.19/0.27 % (2746196)Instruction limit reached!
% 0.19/0.27 % (2746196)------------------------------
% 0.19/0.27 % (2746196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2746196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2746196)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2746196)Termination reason: Instruction limit
% 0.19/0.27 % (2746196)Termination phase: Saturation
% 0.19/0.27 % (2746196)Time elapsed: 0.001 s
% 0.19/0.27 % (2746196)Peak memory usage: 12 MB
% 0.19/0.27 % (2746196)Instructions burned: 2 (million)
% 0.19/0.27 % (2746191) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746176-2746191"...
% 0.19/0.27 % (2746188)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_0, type, b: $o).
% 0.19/0.27 thf(func_def_1, type, a: $o).
% 0.19/0.27 thf(func_def_5, type, vAND: ($o > $o > $o)).
% 0.19/0.27 thf(func_def_6, type, sK0: ($o > $o)).
% 0.19/0.27 thf(func_def_7, type, vNOT: ($o > $o)).
% 0.19/0.27 thf(f1,conjecture,(
% 0.19/0.27 ! [X0 : $o,X1 : $o] : ((X0 <=> X1) => ! [X2 : ($o > $o)] : ((X2 @ X0) => (X2 @ X1))) => ! [X3 : ($o > $o)] : (((X3 @ b) & (X3 @ a)) => (X3 @ b & a))),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT_IMP_EMB2)).
% 0.19/0.27 thf(f2,negated_conjecture,(
% 0.19/0.27 ~(! [X0 : $o,X1 : $o] : ((X0 <=> X1) => ! [X2 : ($o > $o)] : ((X2 @ X0) => (X2 @ X1))) => ! [X3 : ($o > $o)] : (((X3 @ b) & (X3 @ a)) => (X3 @ b & a)))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.27 thf(f3,plain,(
% 0.19/0.27 ~(! [X0 : $o,X1 : $o] : ((X0 <=> X1) => ! [X2 : ($o > $o)] : ((X2 @ X0) => (X2 @ X1))) => ! [X3 : ($o > $o)] : (((X3 @ b) & (X3 @ a)) => (X3 @ b & a)))),
% 0.19/0.27 inference(rectify,[],[f2])).
% 0.19/0.27 thf(f4,plain,(
% 0.19/0.27 ~(! [X1 : $o,X0 : $o] : ((X0 = X1) => ! [X2 : ($o > $o)] : ((((X2 @ X0)) = $true) => (((X2 @ X1)) = $true))) => ! [X3 : ($o > $o)] : (((((X3 @ a)) = $true) & (((X3 @ b)) = $true)) => ($true = ((X3 @ (a & b))))))),
% 0.19/0.27 inference(fool_elimination,[],[f3])).
% 0.19/0.27 thf(f5,plain,(
% 0.19/0.27 ? [X3 : ($o > $o)] : (($true != ((X3 @ (a & b)))) & ((((X3 @ a)) = $true) & (((X3 @ b)) = $true))) & ! [X0 : $o,X1 : $o] : (! [X2 : ($o > $o)] : ((((X2 @ X1)) = $true) | (((X2 @ X0)) != $true)) | (X0 != X1))),
% 0.19/0.27 inference(ennf_transformation,[],[f4])).
% 0.19/0.27 thf(f6,plain,(
% 0.19/0.27 ? [X3 : ($o > $o)] : (($true != ((X3 @ (a & b)))) & (((X3 @ a)) = $true) & (((X3 @ b)) = $true)) & ! [X0 : $o,X1 : $o] : (! [X2 : ($o > $o)] : ((((X2 @ X1)) = $true) | (((X2 @ X0)) != $true)) | (X0 != X1))),
% 0.19/0.27 inference(flattening,[],[f5])).
% 0.19/0.27 thf(f7,plain,(
% 0.19/0.27 ? [X0 : ($o > $o)] : (($true != ((X0 @ (a & b)))) & (((X0 @ a)) = $true) & ($true = ((X0 @ b)))) & ! [X1 : $o,X2 : $o] : (! [X3 : ($o > $o)] : (($true = ((X3 @ X2))) | ($true != ((X3 @ X1)))) | (X1 != X2))),
% 0.19/0.27 inference(rectify,[],[f6])).
% 0.19/0.27 thf(f8,plain,(
% 0.19/0.27 (($true != ((sK0 @ (a & b)))) & ($true = ((sK0 @ a))) & ($true = ((sK0 @ b)))) & ! [X1 : $o,X2 : $o] : (! [X3 : ($o > $o)] : (($true = ((X3 @ X2))) | ($true != ((X3 @ X1)))) | (X1 != X2))),
% 0.19/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7])).
% 0.19/0.27 thf(f10,plain,(
% 0.19/0.27 ($true = ((sK0 @ b)))),
% 0.19/0.27 inference(cnf_transformation,[],[f8])).
% 0.19/0.27 thf(f11,plain,(
% 0.19/0.27 ($true = ((sK0 @ a)))),
% 0.19/0.27 inference(cnf_transformation,[],[f8])).
% 0.19/0.27 thf(f12,plain,(
% 0.19/0.27 ($true != ((sK0 @ (a & b))))),
% 0.19/0.27 inference(cnf_transformation,[],[f8])).
% 0.19/0.27 thf(f16,definition,(
% 0.19/0.27 spl1_1 <=> ($true = ((sK0 @ a)))),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.19/0.27 thf(f18,plain,(
% 0.19/0.27 ($true = ((sK0 @ a))) | ~spl1_1),
% 0.19/0.27 inference(avatar_component_clause,[],[f16])).
% 0.19/0.27 thf(f19,plain,(
% 0.19/0.27 spl1_1),
% 0.19/0.27 inference(avatar_split_clause,[],[f11,f16])).
% 0.19/0.27 thf(f21,definition,(
% 0.19/0.27 spl1_2 <=> ($true = ((sK0 @ b)))),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.19/0.27 thf(f23,plain,(
% 0.19/0.27 ($true = ((sK0 @ b))) | ~spl1_2),
% 0.19/0.27 inference(avatar_component_clause,[],[f21])).
% 0.19/0.27 thf(f24,plain,(
% 0.19/0.27 spl1_2),
% 0.19/0.27 inference(avatar_split_clause,[],[f10,f21])).
% 0.19/0.27 thf(f26,definition,(
% 0.19/0.27 spl1_3 <=> ($true = ((sK0 @ (a & b))))),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 0.19/0.27 thf(f28,plain,(
% 0.19/0.27 ($true != ((sK0 @ (a & b)))) | spl1_3),
% 0.19/0.27 inference(avatar_component_clause,[],[f26])).
% 0.19/0.27 thf(f29,plain,(
% 0.19/0.27 ~spl1_3),
% 0.19/0.27 inference(avatar_split_clause,[],[f12,f26])).
% 0.19/0.27 thf(f37,definition,(
% 0.19/0.27 spl1_5 <=> (a = $false)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition])).
% 0.19/0.27 thf(f39,plain,(
% 0.19/0.27 (a = $false) | ~spl1_5),
% 0.19/0.27 inference(avatar_component_clause,[],[f37])).
% 0.19/0.27 thf(f50,plain,(
% 0.19/0.27 (((sK0 @ $false)) = $true) | (~spl1_1 | ~spl1_5)),
% 0.19/0.27 inference(superposition,[],[f18,f39])).
% 0.19/0.27 thf(f52,definition,(
% 0.19/0.27 spl1_7 <=> (((sK0 @ $false)) = $true)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition])).
% 0.19/0.27 thf(f55,plain,(
% 0.19/0.27 spl1_7 | ~spl1_1 | ~spl1_5),
% 0.19/0.27 inference(avatar_split_clause,[],[f50,f37,f16,f52])).
% 0.19/0.27 thf(f56,plain,(
% 0.19/0.27 ($true != ((sK0 @ ($true & b)))) | (a = $false) | spl1_3),
% 0.19/0.27 inference(fool_paramodulation,[],[f28])).
% 0.19/0.27 thf(f60,plain,(
% 0.19/0.27 (a = $false) | ($true != ((sK0 @ b))) | spl1_3),
% 0.19/0.27 inference(boolean_simplification,[],[f56])).
% 0.19/0.27 thf(f64,plain,(
% 0.19/0.27 (a = $false) | (~spl1_2 | spl1_3)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f60,f23])).
% 0.19/0.27 thf(f68,plain,(
% 0.19/0.27 spl1_5 | ~spl1_2 | spl1_3),
% 0.19/0.27 inference(avatar_split_clause,[],[f64,f26,f21,f37])).
% 0.19/0.27 thf(f71,plain,(
% 0.19/0.27 ($true != ((sK0 @ ($false & b)))) | (spl1_3 | ~spl1_5)),
% 0.19/0.27 inference(superposition,[],[f28,f39])).
% 0.19/0.27 thf(f73,plain,(
% 0.19/0.27 (((sK0 @ $false)) != $true) | (spl1_3 | ~spl1_5)),
% 0.19/0.27 inference(boolean_simplification,[],[f71])).
% 0.19/0.27 thf(f74,plain,(
% 0.19/0.27 ~spl1_7 | spl1_3 | ~spl1_5),
% 0.19/0.27 inference(avatar_split_clause,[],[f73,f37,f26,f52])).
% 0.19/0.27 cnf(s1, plain, spl1_1, inference(sat_conversion,[],[f19])).
% 0.19/0.27 cnf(s2, plain, spl1_2, inference(sat_conversion,[],[f24])).
% 0.19/0.27 cnf(s3, plain, ~spl1_3, inference(sat_conversion,[],[f29])).
% 0.19/0.27 cnf(s8, plain, ~spl1_1 | ~spl1_5 | spl1_7, inference(sat_conversion,[],[f55])).
% 0.19/0.27 cnf(s9, plain, ~spl1_2 | spl1_3 | spl1_5, inference(sat_conversion,[],[f68])).
% 0.19/0.27 cnf(s14, plain, spl1_3 | ~spl1_5 | ~spl1_7, inference(sat_conversion,[],[f74])).
% 0.19/0.27 cnf(s15, plain, spl1_5, inference(rat,[],[s9,s3,s2])).
% 0.19/0.27 cnf(s16, plain, ~spl1_7, inference(rat,[],[s14,s3,s15])).
% 0.19/0.27 cnf(s17, plain, ~spl1_1, inference(rat,[],[s8,s16,s15])).
% 0.19/0.27 cnf(s18, plain, $false, inference(rat,[],[s1,s17])).
% 0.19/0.27 thf(f75,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(avatar_sat_refutation,[],[s18])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (2746188)------------------------------
% 0.19/0.27 % (2746188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2746188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2746188)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2746188)Termination reason: Refutation
% 0.19/0.27 % (2746188)Time elapsed: 0.003 s
% 0.19/0.27 % (2746188)Peak memory usage: 13 MB
% 0.19/0.27 % (2746188)Instructions burned: 3 (million)
% 0.19/0.27 % (2746176)Success in time 0.027 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------