%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP138-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 : Tue Sep 29 10:16:56 AM UTC 2026
% Result : Unsatisfiable 1.65s 0.70s
% Output : Refutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 38 unt; 2 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
fof(f7,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
fof(f8,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f17,axiom,
least_upper_bound(a,c) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1a_1) ).
fof(f18,plain,
a = least_upper_bound(a,c),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
least_upper_bound(b,c) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1a_2) ).
fof(f20,plain,
b = least_upper_bound(b,c),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
least_upper_bound(greatest_lower_bound(a,b),c) != greatest_lower_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb1a) ).
fof(f22,plain,
greatest_lower_bound(a,b) != least_upper_bound(greatest_lower_bound(a,b),c),
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF0 = greatest_lower_bound(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
greatest_lower_bound(a,b) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF1 = least_upper_bound(sF0,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
least_upper_bound(sF0,c) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
sF0 != sF1,
inference(definition_folding,[],[f22,f26,f24,f24]) ).
fof(f28,plain,
sF1 = least_upper_bound(c,sF0),
inference(forward_demodulation,[],[f26,f6]) ).
fof(f35,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f36,plain,
a = least_upper_bound(a,sF0),
inference(superposition,[],[f11,f24]) ).
fof(f39,plain,
! [X0,X1] : greatest_lower_bound(X1,least_upper_bound(X0,X1)) = X1,
inference(superposition,[],[f12,f6]) ).
fof(f59,plain,
! [X0] : greatest_lower_bound(a,greatest_lower_bound(b,X0)) = greatest_lower_bound(sF0,X0),
inference(superposition,[],[f7,f24]) ).
fof(f79,plain,
! [X0] : least_upper_bound(a,least_upper_bound(c,X0)) = least_upper_bound(a,X0),
inference(superposition,[],[f8,f18]) ).
fof(f80,plain,
! [X0] : least_upper_bound(b,least_upper_bound(c,X0)) = least_upper_bound(b,X0),
inference(superposition,[],[f8,f20]) ).
fof(f100,plain,
b = least_upper_bound(b,sF0),
inference(superposition,[],[f35,f24]) ).
fof(f196,plain,
sF0 = greatest_lower_bound(sF0,sF1),
inference(superposition,[],[f39,f28]) ).
fof(f208,plain,
sF0 = greatest_lower_bound(a,greatest_lower_bound(b,sF1)),
inference(forward_demodulation,[],[f196,f59]) ).
fof(f284,plain,
least_upper_bound(a,sF0) = least_upper_bound(a,sF1),
inference(superposition,[],[f79,f28]) ).
fof(f290,plain,
a = least_upper_bound(a,sF1),
inference(forward_demodulation,[],[f284,f36]) ).
fof(f301,plain,
least_upper_bound(b,sF0) = least_upper_bound(b,sF1),
inference(superposition,[],[f80,f28]) ).
fof(f306,plain,
b = least_upper_bound(b,sF1),
inference(forward_demodulation,[],[f301,f100]) ).
fof(f312,plain,
sF1 = greatest_lower_bound(sF1,a),
inference(superposition,[],[f39,f290]) ).
fof(f316,plain,
sF1 = greatest_lower_bound(a,sF1),
inference(forward_demodulation,[],[f312,f5]) ).
fof(f342,plain,
sF1 = greatest_lower_bound(sF1,b),
inference(superposition,[],[f39,f306]) ).
fof(f346,plain,
sF1 = greatest_lower_bound(b,sF1),
inference(forward_demodulation,[],[f342,f5]) ).
fof(f1081,plain,
sF0 = greatest_lower_bound(a,sF1),
inference(superposition,[],[f208,f346]) ).
fof(f1253,plain,
sF0 = sF1,
inference(superposition,[],[f316,f1081]) ).
fof(f1268,plain,
$false,
inference(forward_subsumption_resolution,[],[f1253,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP138-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 09:33:08 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/0.70 % (3130223)Will run a generic schedule for satisfiability detection.
% 1.65/0.70 % (3130232)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1436604449:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.65/0.70 % (3130229)% WARNING: option uhcvi not known.
% 1.65/0.70 % (3130231)dis+10_1_sil=32000:sp=arity:random_seed=444820294:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.65/0.70 % (3130228)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1103755547_2999 on theBenchmark for (2999ds/0Mi)
% 1.65/0.70 % (3130229)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=841593524:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.65/0.70 % (3130230)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2179576244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.65/0.70 % (3130233)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2890679787:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.65/0.70 % TRYING [1]
% 1.65/0.70 % (3130234)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3176954330:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.65/0.70 % TRYING [2]
% 1.65/0.70 % TRYING [3]
% 1.65/0.70 % TRYING [4]
% 1.65/0.70 % (3130232)Instruction limit reached!
% 1.65/0.70 % (3130232)------------------------------
% 1.65/0.70 % (3130232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.70 % (3130232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.70 % (3130232)CaDiCaL version: 2.1.3
% 1.65/0.70 % (3130232)Termination reason: Instruction limit
% 1.65/0.70 % (3130232)Termination phase: Saturation
% 1.65/0.70 % (3130232)Time elapsed: 0.039 s
% 1.65/0.70 % (3130232)Peak memory usage: 12 MB
% 1.65/0.70 % (3130232)Instructions burned: 117 (million)
% 1.65/0.70 % TRYING [5]
% 1.65/0.70 % (3130242)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=669652450:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.65/0.70 % TRYING [1]
% 1.65/0.70 % TRYING [2]
% 1.65/0.70 % TRYING [3]
% 1.65/0.70 % TRYING [4]
% 1.65/0.70 % (3130231)Instruction limit reached!
% 1.65/0.70 % (3130231)------------------------------
% 1.65/0.70 % (3130231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.70 % (3130231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.70 % (3130231)CaDiCaL version: 2.1.3
% 1.65/0.70 % (3130231)Termination reason: Instruction limit
% 1.65/0.70 % (3130231)Termination phase: Saturation
% 1.65/0.70 % (3130231)Time elapsed: 0.060 s
% 1.65/0.70 % (3130231)Peak memory usage: 12 MB
% 1.65/0.70 % (3130231)Instructions burned: 104 (million)
% 1.65/0.70 % TRYING [5]
% 1.65/0.70 % (3130244)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4128755380:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.65/0.70 % (3130233)Instruction limit reached!
% 1.65/0.70 % (3130233)------------------------------
% 1.65/0.70 % (3130233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.70 % (3130233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.70 % (3130233)CaDiCaL version: 2.1.3
% 1.65/0.70 % (3130233)Termination reason: Instruction limit
% 1.65/0.70 % (3130233)Termination phase: Saturation
% 1.65/0.70 % (3130233)Time elapsed: 0.080 s
% 1.65/0.70 % (3130233)Peak memory usage: 12 MB
% 1.65/0.70 % (3130233)Instructions burned: 131 (million)
% 1.65/0.70 % (3130234)Instruction limit reached!
% 1.65/0.70 % (3130234)------------------------------
% 1.65/0.70 % (3130234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.70 % (3130234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.70 % (3130234)CaDiCaL version: 2.1.3
% 1.65/0.70 % (3130234)Termination reason: Instruction limit
% 1.65/0.70 % (3130234)Termination phase: Saturation
% 1.65/0.70 % (3130234)Time elapsed: 0.097 s
% 1.65/0.70 % (3130234)Peak memory usage: 12 MB
% 1.65/0.70 % (3130234)Instructions burned: 159 (million)
% 1.65/0.70 % (3130246)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=555102245:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.65/0.70 % TRYING [6]
% 1.65/0.70 % (3130247)ott-21_1_sil=16000:fs=off:random_seed=3750489959:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.65/0.70 % TRYING [6]
% 1.65/0.70 % (3130244)Instruction limit reached!
% 1.65/0.70 % (3130244)------------------------------
% 1.65/0.70 % (3130244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.70 % (3130244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.70 % (3130244)CaDiCaL version: 2.1.3
% 1.65/0.70 % (3130244)Termination reason: Instruction limit
% 1.65/0.70 % (3130244)Termination phase: Saturation
% 1.65/0.70 % (3130244)Time elapsed: 0.085 s
% 1.65/0.70 % (3130244)Peak memory usage: 13 MB
% 1.65/0.70 % (3130244)Instructions burned: 132 (million)
% 1.65/0.70 % (3130250)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3260108786:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.65/0.70 % (3130242)Instruction limit reached!
% 1.65/0.70 % (3130242)------------------------------
% 1.65/0.70 % (3130242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.70 % (3130242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.70 % (3130242)CaDiCaL version: 2.1.3
% 1.65/0.70 % (3130242)Termination reason: Instruction limit
% 1.65/0.70 % (3130242)Termination phase: Finite model building constraint generation
% 1.65/0.70 % (3130242)Time elapsed: 0.142 s
% 1.65/0.70 % (3130242)Peak memory usage: 38 MB
% 1.65/0.70 % (3130242)Instructions burned: 715 (million)
% 1.65/0.70 % (3130247)Instruction limit reached!
% 1.65/0.70 % (3130247)------------------------------
% 1.65/0.70 % (3130247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.70 % (3130247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.70 % (3130247)CaDiCaL version: 2.1.3
% 1.65/0.70 % (3130247)Termination reason: Instruction limit
% 1.65/0.70 % (3130247)Termination phase: Saturation
% 1.65/0.70 % (3130247)Time elapsed: 0.079 s
% 1.65/0.70 % (3130247)Peak memory usage: 11 MB
% 1.65/0.70 % (3130247)Instructions burned: 181 (million)
% 1.65/0.70 % (3130252)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4035413145:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.65/0.70 % TRYING [1]
% 1.65/0.70 % TRYING [2]
% 1.65/0.70 % TRYING [3]
% 1.65/0.70 % TRYING [4]
% 1.65/0.70 % (3130254)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3188498325:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.65/0.70 % (3130254) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3130223-3130254"...
% 1.65/0.70 % (3130254)...printing done.
% 1.65/0.70 % (3130254)Refutation found. Thanks to Tanya!
% 1.65/0.70 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.70 % (3130254)------------------------------
% 2.10/0.70 % (3130254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.70 % (3130254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.70 % (3130254)CaDiCaL version: 2.1.3
% 2.10/0.70 % (3130254)Termination reason: Refutation
% 2.10/0.70 % (3130254)Time elapsed: 0.029 s
% 2.10/0.70 % (3130254)Peak memory usage: 12 MB
% 2.10/0.70 % (3130254)Instructions burned: 46 (million)
% 2.10/0.70 % (3130223)Success in time 0.292 s
% 2.10/0.70 % Vampire exiting
%------------------------------------------------------------------------------