%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP178-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 10:17:04 AM UTC 2026
% Result : Unsatisfiable 41.94s 6.38s
% Output : Refutation 41.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 54 unt; 3 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
fof(f16,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
fof(f21,axiom,
least_upper_bound(identity,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p09a_3) ).
fof(f22,plain,
c = least_upper_bound(identity,c),
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
greatest_lower_bound(a,b) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p09a_4) ).
fof(f24,plain,
identity = greatest_lower_bound(a,b),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
greatest_lower_bound(a,multiply(b,c)) != greatest_lower_bound(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p09a) ).
fof(f26,definition,
sF0 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f27,plain,
multiply(b,c) = sF0,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF1 = greatest_lower_bound(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f29,plain,
greatest_lower_bound(a,sF0) = sF1,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF2 = greatest_lower_bound(a,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f31,plain,
greatest_lower_bound(a,c) = sF2,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
sF1 != sF2,
inference(definition_folding,[],[f25,f31,f29,f27]) ).
fof(f42,plain,
identity = greatest_lower_bound(identity,c),
inference(superposition,[],[f12,f22]) ).
fof(f51,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f64,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(a,greatest_lower_bound(b,X0)),
inference(superposition,[],[f7,f24]) ).
fof(f65,plain,
! [X0] : greatest_lower_bound(a,greatest_lower_bound(sF0,X0)) = greatest_lower_bound(sF1,X0),
inference(superposition,[],[f7,f29]) ).
fof(f104,plain,
! [X0] : multiply(b,least_upper_bound(c,X0)) = least_upper_bound(sF0,multiply(b,X0)),
inference(superposition,[],[f13,f27]) ).
fof(f208,plain,
! [X0] : multiply(greatest_lower_bound(b,X0),c) = greatest_lower_bound(sF0,multiply(X0,c)),
inference(superposition,[],[f16,f27]) ).
fof(f267,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f53,f3]) ).
fof(f268,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f53,f53]) ).
fof(f282,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f267,f268]) ).
fof(f288,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(a,greatest_lower_bound(X0,b)),
inference(superposition,[],[f64,f5]) ).
fof(f289,plain,
! [X0] : greatest_lower_bound(a,b) = greatest_lower_bound(identity,least_upper_bound(b,X0)),
inference(superposition,[],[f64,f12]) ).
fof(f297,plain,
! [X0] : identity = greatest_lower_bound(identity,least_upper_bound(b,X0)),
inference(forward_demodulation,[],[f289,f24]) ).
fof(f305,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(superposition,[],[f14,f282]) ).
fof(f1739,plain,
multiply(b,least_upper_bound(c,identity)) = least_upper_bound(sF0,b),
inference(superposition,[],[f104,f282]) ).
fof(f1756,plain,
multiply(b,least_upper_bound(c,identity)) = least_upper_bound(b,sF0),
inference(forward_demodulation,[],[f1739,f6]) ).
fof(f1761,plain,
least_upper_bound(b,sF0) = multiply(b,least_upper_bound(identity,c)),
inference(forward_demodulation,[],[f1756,f6]) ).
fof(f1764,plain,
multiply(b,c) = least_upper_bound(b,sF0),
inference(forward_demodulation,[],[f1761,f22]) ).
fof(f1765,plain,
sF0 = least_upper_bound(b,sF0),
inference(forward_demodulation,[],[f1764,f27]) ).
fof(f1766,plain,
identity = greatest_lower_bound(identity,sF0),
inference(superposition,[],[f297,f1765]) ).
fof(f2326,plain,
! [X0] : greatest_lower_bound(sF1,multiply(X0,c)) = greatest_lower_bound(a,multiply(greatest_lower_bound(b,X0),c)),
inference(superposition,[],[f65,f208]) ).
fof(f6761,plain,
greatest_lower_bound(identity,sF0) = greatest_lower_bound(sF1,b),
inference(superposition,[],[f65,f288]) ).
fof(f6795,plain,
greatest_lower_bound(identity,sF0) = greatest_lower_bound(b,sF1),
inference(forward_demodulation,[],[f6761,f5]) ).
fof(f6811,plain,
identity = greatest_lower_bound(b,sF1),
inference(forward_demodulation,[],[f6795,f1766]) ).
fof(f77569,plain,
greatest_lower_bound(a,multiply(identity,c)) = greatest_lower_bound(sF1,multiply(sF1,c)),
inference(superposition,[],[f2326,f6811]) ).
fof(f77723,plain,
greatest_lower_bound(a,multiply(identity,c)) = multiply(sF1,greatest_lower_bound(identity,c)),
inference(forward_demodulation,[],[f77569,f305]) ).
fof(f77769,plain,
multiply(sF1,identity) = greatest_lower_bound(a,multiply(identity,c)),
inference(forward_demodulation,[],[f77723,f42]) ).
fof(f77789,plain,
greatest_lower_bound(a,c) = multiply(sF1,identity),
inference(forward_demodulation,[],[f77769,f1]) ).
fof(f77799,plain,
greatest_lower_bound(a,c) = sF1,
inference(forward_demodulation,[],[f77789,f282]) ).
fof(f77810,plain,
sF1 = sF2,
inference(superposition,[],[f31,f77799]) ).
fof(f77896,plain,
$false,
inference(forward_subsumption_resolution,[],[f77810,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP178-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 09:35:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.27/2.46 % (2152882)Will run a generic schedule for satisfiability detection.
% 14.27/2.46 % (2152893)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3594191138:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 14.27/2.46 % (2152888)% WARNING: option uhcvi not known.
% 14.27/2.46 % (2152887)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3171120926_3000 on theBenchmark for (3000ds/0Mi)
% 14.27/2.46 % (2152889)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4028928495:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 14.27/2.46 % (2152888)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3709974370:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 14.27/2.46 % (2152890)dis+10_1_sil=32000:sp=arity:random_seed=3362230525:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 14.27/2.46 % (2152891)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=39570499:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 14.27/2.46 % (2152892)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1316773295:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 14.27/2.46 % TRYING [1]
% 14.27/2.46 % TRYING [2]
% 14.27/2.46 % TRYING [3]
% 14.27/2.46 % TRYING [4]
% 14.27/2.46 % TRYING [5]
% 14.27/2.46 % (2152893)Instruction limit reached!
% 14.27/2.46 % (2152893)------------------------------
% 14.27/2.46 % (2152893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.27/2.46 % (2152893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.27/2.46 % (2152893)CaDiCaL version: 2.1.3
% 14.27/2.46 % (2152893)Termination reason: Instruction limit
% 14.27/2.46 % (2152893)Termination phase: Saturation
% 14.27/2.46 % (2152893)Time elapsed: 0.052 s
% 14.27/2.46 % (2152893)Peak memory usage: 12 MB
% 14.27/2.46 % (2152893)Instructions burned: 161 (million)
% 14.27/2.46 % (2152904)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3173103789:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.27/2.46 % TRYING [1]
% 14.27/2.46 % TRYING [2]
% 14.27/2.46 % TRYING [3]
% 14.27/2.46 % (2152890)Instruction limit reached!
% 14.27/2.46 % (2152890)------------------------------
% 14.27/2.46 % (2152890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.27/2.46 % (2152890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.27/2.46 % (2152890)CaDiCaL version: 2.1.3
% 14.27/2.46 % (2152890)Termination reason: Instruction limit
% 14.27/2.46 % (2152890)Termination phase: Saturation
% 14.27/2.46 % (2152890)Time elapsed: 0.058 s
% 14.27/2.46 % (2152890)Peak memory usage: 12 MB
% 14.27/2.46 % (2152890)Instructions burned: 103 (million)
% 14.27/2.46 % TRYING [4]
% 14.27/2.46 % (2152891)Instruction limit reached!
% 14.27/2.46 % (2152891)------------------------------
% 14.27/2.46 % (2152891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.27/2.46 % (2152891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.27/2.46 % (2152891)CaDiCaL version: 2.1.3
% 14.27/2.46 % (2152891)Termination reason: Instruction limit
% 14.27/2.46 % (2152891)Termination phase: Saturation
% 14.27/2.46 % (2152891)Time elapsed: 0.069 s
% 14.27/2.46 % (2152891)Peak memory usage: 12 MB
% 14.27/2.46 % (2152891)Instructions burned: 117 (million)
% 14.27/2.46 % (2152892)Instruction limit reached!
% 14.27/2.46 % (2152892)------------------------------
% 14.27/2.46 % (2152892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.27/2.46 % (2152892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.27/2.46 % (2152892)CaDiCaL version: 2.1.3
% 14.27/2.46 % (2152892)Termination reason: Instruction limit
% 14.27/2.46 % (2152892)Termination phase: Saturation
% 14.27/2.46 % (2152892)Time elapsed: 0.080 s
% 14.27/2.46 % (2152892)Peak memory usage: 12 MB
% 14.27/2.46 % (2152892)Instructions burned: 133 (million)
% 14.27/2.46 % (2152913)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3974248284:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.27/2.46 % TRYING [5]
% 14.27/2.46 % (2152918)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=4132012016:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 14.27/2.46 % (2152925)ott-21_1_sil=16000:fs=off:random_seed=1228297451:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.27/2.46 % TRYING [6]
% 14.27/2.46 % TRYING [6]
% 14.27/2.46 % (2152913)Instruction limit reached!
% 14.27/2.46 % (2152913)------------------------------
% 14.27/2.46 % (2152913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2152913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2152913)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2152913)Termination reason: Instruction limit
% 41.94/6.38 % (2152913)Termination phase: Saturation
% 41.94/6.38 % (2152913)Time elapsed: 0.084 s
% 41.94/6.38 % (2152913)Peak memory usage: 12 MB
% 41.94/6.38 % (2152913)Instructions burned: 131 (million)
% 41.94/6.38 % (2152964)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3102495245:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 41.94/6.38 % (2152925)Instruction limit reached!
% 41.94/6.38 % (2152925)------------------------------
% 41.94/6.38 % (2152925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2152925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2152925)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2152925)Termination reason: Instruction limit
% 41.94/6.38 % (2152925)Termination phase: Saturation
% 41.94/6.38 % (2152925)Time elapsed: 0.087 s
% 41.94/6.38 % (2152925)Peak memory usage: 12 MB
% 41.94/6.38 % (2152925)Instructions burned: 182 (million)
% 41.94/6.38 % (2152978)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1246019006:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 41.94/6.38 % (2152904)Instruction limit reached!
% 41.94/6.38 % (2152904)------------------------------
% 41.94/6.38 % (2152904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2152904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2152904)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2152904)Termination reason: Instruction limit
% 41.94/6.38 % (2152904)Termination phase: Finite model building constraint generation
% 41.94/6.38 % (2152904)Time elapsed: 0.152 s
% 41.94/6.38 % (2152904)Peak memory usage: 36 MB
% 41.94/6.38 % (2152904)Instructions burned: 716 (million)
% 41.94/6.38 % TRYING [1]
% 41.94/6.38 % TRYING [2]
% 41.94/6.38 % TRYING [3]
% 41.94/6.38 % (2152986)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3175212019:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 41.94/6.38 % TRYING [4]
% 41.94/6.38 % TRYING [5]
% 41.94/6.38 % (2152964)Instruction limit reached!
% 41.94/6.38 % (2152964)------------------------------
% 41.94/6.38 % (2152964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2152964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2152964)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2152964)Termination reason: Instruction limit
% 41.94/6.38 % (2152964)Termination phase: Saturation
% 41.94/6.38 % (2152964)Time elapsed: 0.259 s
% 41.94/6.38 % (2152964)Peak memory usage: 15 MB
% 41.94/6.38 % (2152964)Instructions burned: 478 (million)
% 41.94/6.38 % (2152918)Instruction limit reached!
% 41.94/6.38 % (2152918)------------------------------
% 41.94/6.38 % (2152918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2152918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2152918)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2152918)Termination reason: Instruction limit
% 41.94/6.38 % (2152918)Termination phase: Saturation
% 41.94/6.38 % (2152918)Time elapsed: 0.361 s
% 41.94/6.38 % (2152918)Peak memory usage: 18 MB
% 41.94/6.38 % (2152918)Instructions burned: 684 (million)
% 41.94/6.38 % (2153028)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3315011827:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 41.94/6.38 % (2153033)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=656689944:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 41.94/6.38 % (2152978)Instruction limit reached!
% 41.94/6.38 % (2152978)------------------------------
% 41.94/6.38 % (2152978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2152978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2152978)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2152978)Termination reason: Instruction limit
% 41.94/6.38 % (2152978)Termination phase: Finite model building SAT solving
% 41.94/6.38 % (2152978)Time elapsed: 0.332 s
% 41.94/6.38 % (2152978)Peak memory usage: 21 MB
% 41.94/6.38 % (2152978)Instructions burned: 867 (million)
% 41.94/6.38 % (2153071)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=335594545:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 41.94/6.38 % (2152986)Instruction limit reached!
% 41.94/6.38 % (2152986)------------------------------
% 41.94/6.38 % (2152986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2152986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2152986)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2152986)Termination reason: Instruction limit
% 41.94/6.38 % (2152986)Termination phase: Saturation
% 41.94/6.38 % (2152986)Time elapsed: 0.354 s
% 41.94/6.38 % (2152986)Peak memory usage: 23 MB
% 41.94/6.38 % (2152986)Instructions burned: 1180 (million)
% 41.94/6.38 % (2153073)fmb+10_1_sil=64000:random_seed=1759649281:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 41.94/6.38 % TRYING [1]
% 41.94/6.38 % TRYING [2]
% 41.94/6.38 % TRYING [3]
% 41.94/6.38 % TRYING [4]
% 41.94/6.38 % TRYING [5]
% 41.94/6.38 % TRYING [14]
% 41.94/6.38 % TRYING [7]
% 41.94/6.38 % TRYING [6]
% 41.94/6.38 % (2153028)Instruction limit reached!
% 41.94/6.38 % (2153028)------------------------------
% 41.94/6.38 % (2153028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153028)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153028)Termination reason: Instruction limit
% 41.94/6.38 % (2153028)Termination phase: Finite model building constraint generation
% 41.94/6.38 % (2153028)Time elapsed: 0.363 s
% 41.94/6.38 % (2153028)Peak memory usage: 91 MB
% 41.94/6.38 % (2153028)Instructions burned: 889 (million)
% 41.94/6.38 % (2153075)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2961358068:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 41.94/6.38 % TRYING [20]
% 41.94/6.38 % (2153033)Instruction limit reached!
% 41.94/6.38 % (2153033)------------------------------
% 41.94/6.38 % (2153033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153033)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153033)Termination reason: Instruction limit
% 41.94/6.38 % (2153033)Termination phase: Saturation
% 41.94/6.38 % (2153033)Time elapsed: 0.422 s
% 41.94/6.38 % (2153033)Peak memory usage: 18 MB
% 41.94/6.38 % (2153033)Instructions burned: 693 (million)
% 41.94/6.38 % (2153077)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1157328593:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 41.94/6.38 % TRYING [8]
% 41.94/6.38 % (2153071)Instruction limit reached!
% 41.94/6.38 % (2153071)------------------------------
% 41.94/6.38 % (2153071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153071)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153071)Termination reason: Instruction limit
% 41.94/6.38 % (2153071)Termination phase: Saturation
% 41.94/6.38 % (2153071)Time elapsed: 0.465 s
% 41.94/6.38 % (2153071)Peak memory usage: 18 MB
% 41.94/6.38 % (2153071)Instructions burned: 880 (million)
% 41.94/6.38 % (2153079)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=471766501:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 41.94/6.38 % TRYING [7]
% 41.94/6.38 % (2153077)Instruction limit reached!
% 41.94/6.38 % (2153077)------------------------------
% 41.94/6.38 % (2153077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153077)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153077)Termination reason: Instruction limit
% 41.94/6.38 % (2153077)Termination phase: Finite model building constraint generation
% 41.94/6.38 % (2153077)Time elapsed: 0.351 s
% 41.94/6.38 % (2153077)Peak memory usage: 73 MB
% 41.94/6.38 % (2153077)Instructions burned: 921 (million)
% 41.94/6.38 % (2153081)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=804935124:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 41.94/6.38 % (2153081)Instruction limit reached!
% 41.94/6.38 % (2153081)------------------------------
% 41.94/6.38 % (2153081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153081)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153081)Termination reason: Instruction limit
% 41.94/6.38 % (2153081)Termination phase: Saturation
% 41.94/6.38 % (2153081)Time elapsed: 0.727 s
% 41.94/6.38 % (2153081)Peak memory usage: 26 MB
% 41.94/6.38 % (2153081)Instructions burned: 1472 (million)
% 41.94/6.38 % (2153083)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2513971865:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 41.94/6.38 % TRYING [77]
% 41.94/6.38 % TRYING [8]
% 41.94/6.38 % TRYING [8]
% 41.94/6.38 % (2153079)Instruction limit reached!
% 41.94/6.38 % (2153079)------------------------------
% 41.94/6.38 % (2153079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153079)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153079)Termination reason: Instruction limit
% 41.94/6.38 % (2153079)Termination phase: Saturation
% 41.94/6.38 % (2153079)Time elapsed: 2.791 s
% 41.94/6.38 % (2153079)Peak memory usage: 53 MB
% 41.94/6.38 % (2153079)Instructions burned: 5132 (million)
% 41.94/6.38 % (2153085)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1880596627:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 41.94/6.38 % TRYING [16]
% 41.94/6.38 % (2153075)Instruction limit reached!
% 41.94/6.38 % (2153075)------------------------------
% 41.94/6.38 % (2153075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153075)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153075)Termination reason: Instruction limit
% 41.94/6.38 % (2153075)Termination phase: Finite model building constraint generation
% 41.94/6.38 % (2153075)Time elapsed: 3.485 s
% 41.94/6.38 % (2153075)Peak memory usage: 667 MB
% 41.94/6.38 % (2153075)Instructions burned: 9518 (million)
% 41.94/6.38 % (2153083)Instruction limit reached!
% 41.94/6.38 % (2153083)------------------------------
% 41.94/6.38 % (2153083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153083)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153083)Termination reason: Instruction limit
% 41.94/6.38 % (2153083)Termination phase: Finite model building constraint generation
% 41.94/6.38 % (2153083)Time elapsed: 2.359 s
% 41.94/6.38 % (2153083)Peak memory usage: 443 MB
% 41.94/6.38 % (2153083)Instructions burned: 6327 (million)
% 41.94/6.38 % (2153087)ott-2_1_sil=16000:newcnf=on:random_seed=3673305820:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 41.94/6.38 % (2153089)ott+10_1_sil=32000:tgt=ground:random_seed=173127713:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 41.94/6.38 % (2153085)Instruction limit reached!
% 41.94/6.38 % (2153085)------------------------------
% 41.94/6.38 % (2153085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153085)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153085)Termination reason: Instruction limit
% 41.94/6.38 % (2153085)Termination phase: Finite model building constraint generation
% 41.94/6.38 % (2153085)Time elapsed: 0.732 s
% 41.94/6.38 % (2153085)Peak memory usage: 132 MB
% 41.94/6.38 % (2153085)Instructions burned: 2176 (million)
% 41.94/6.38 % (2153091)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1414691231:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 41.94/6.38 % TRYING [1]
% 41.94/6.38 % TRYING [2]
% 41.94/6.38 % TRYING [3]
% 41.94/6.38 % TRYING [4]
% 41.94/6.38 % TRYING [5]
% 41.94/6.38 % TRYING [6]
% 41.94/6.38 % (2153087)Instruction limit reached!
% 41.94/6.38 % (2153087)------------------------------
% 41.94/6.38 % (2153087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153087)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153087)Termination reason: Instruction limit
% 41.94/6.38 % (2153087)Termination phase: Saturation
% 41.94/6.38 % (2153087)Time elapsed: 0.519 s
% 41.94/6.38 % (2153087)Peak memory usage: 20 MB
% 41.94/6.38 % (2153087)Instructions burned: 870 (million)
% 41.94/6.38 % (2153093)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3907874734:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 41.94/6.38 % TRYING [7]
% 41.94/6.38 % (2153089) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2152882-2153089"...
% 41.94/6.38 % (2153089)...printing done.
% 41.94/6.38 % (2153089)Refutation found. Thanks to Tanya!
% 41.94/6.38 % SZS status Unsatisfiable for theBenchmark
% 41.94/6.38 % SZS output start Proof for theBenchmark
% See solution above
% 41.94/6.38 % (2153089)------------------------------
% 41.94/6.38 % (2153089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.94/6.38 % (2153089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.94/6.38 % (2153089)CaDiCaL version: 2.1.3
% 41.94/6.38 % (2153089)Termination reason: Refutation
% 41.94/6.38 % (2153089)Time elapsed: 1.451 s
% 41.94/6.38 % (2153089)Peak memory usage: 37 MB
% 41.94/6.38 % (2153089)Instructions burned: 2489 (million)
% 41.94/6.38 % (2152882)Success in time 5.99 s
% 41.94/6.38 % Vampire exiting
%------------------------------------------------------------------------------