%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP172-2 : 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 : n017.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 10:17:02 AM UTC 2026
% Result : Unsatisfiable 1.07s 0.63s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
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(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
fof(f17,axiom,
greatest_lower_bound(identity,a) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_1) ).
fof(f18,plain,
identity = greatest_lower_bound(identity,a),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
greatest_lower_bound(identity,b) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_2) ).
fof(f20,plain,
identity = greatest_lower_bound(identity,b),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
least_upper_bound(identity,multiply(a,b)) != multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p04d) ).
fof(f22,plain,
multiply(a,b) != least_upper_bound(identity,multiply(a,b)),
inference(reorient_equations,[],[f21]) ).
fof(f26,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f33,plain,
a = least_upper_bound(a,identity),
inference(superposition,[],[f26,f18]) ).
fof(f42,plain,
a = least_upper_bound(identity,a),
inference(forward_demodulation,[],[f33,f6]) ).
fof(f629,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(identity,greatest_lower_bound(b,X0)),
inference(superposition,[],[f7,f20]) ).
fof(f2967,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f15,f1]) ).
fof(f4453,plain,
! [X0,X1] : greatest_lower_bound(X1,multiply(least_upper_bound(identity,X0),X1)) = X1,
inference(superposition,[],[f12,f2967]) ).
fof(f4527,plain,
! [X0] : greatest_lower_bound(X0,multiply(a,X0)) = X0,
inference(superposition,[],[f4453,f42]) ).
fof(f4714,plain,
greatest_lower_bound(identity,b) = greatest_lower_bound(identity,multiply(a,b)),
inference(superposition,[],[f629,f4527]) ).
fof(f4715,plain,
identity = greatest_lower_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f4714,f20]) ).
fof(f4805,plain,
multiply(a,b) = least_upper_bound(multiply(a,b),identity),
inference(superposition,[],[f26,f4715]) ).
fof(f4819,plain,
multiply(a,b) = least_upper_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f4805,f6]) ).
fof(f4825,plain,
$false,
inference(forward_subsumption_resolution,[],[f4819,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP172-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:30:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.41 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
% 1.07/0.63 % (2285233)Will run a generic schedule for satisfiability detection.
% 1.07/0.63 % (2285244)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1534658355:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.07/0.63 % (2285239)% WARNING: option uhcvi not known.
% 1.07/0.63 % (2285238)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1248734027_2999 on theBenchmark for (2999ds/0Mi)
% 1.07/0.63 % (2285241)dis+10_1_sil=32000:sp=arity:random_seed=1375275389:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.07/0.63 % (2285240)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4250161702:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.07/0.63 % (2285242)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3503340060:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.07/0.63 % (2285243)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3506408762:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.07/0.63 % (2285239)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=275185989:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.07/0.63 % TRYING [1]
% 1.07/0.63 % TRYING [2]
% 1.07/0.63 % TRYING [3]
% 1.07/0.63 % TRYING [4]
% 1.07/0.63 % TRYING [5]
% 1.07/0.63 % (2285244)Instruction limit reached!
% 1.07/0.63 % (2285244)------------------------------
% 1.07/0.63 % (2285244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (2285244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (2285244)CaDiCaL version: 2.1.3
% 1.07/0.63 % (2285244)Termination reason: Instruction limit
% 1.07/0.63 % (2285244)Termination phase: Saturation
% 1.07/0.63 % (2285244)Time elapsed: 0.053 s
% 1.07/0.63 % (2285244)Peak memory usage: 12 MB
% 1.07/0.63 % (2285244)Instructions burned: 163 (million)
% 1.07/0.63 % (2285241)Instruction limit reached!
% 1.07/0.63 % (2285241)------------------------------
% 1.07/0.63 % (2285241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (2285241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (2285241)CaDiCaL version: 2.1.3
% 1.07/0.63 % (2285241)Termination reason: Instruction limit
% 1.07/0.63 % (2285241)Termination phase: Saturation
% 1.07/0.63 % (2285241)Time elapsed: 0.059 s
% 1.07/0.63 % (2285241)Peak memory usage: 12 MB
% 1.07/0.63 % (2285241)Instructions burned: 103 (million)
% 1.07/0.63 % (2285252)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3522818686:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.07/0.63 % TRYING [1]
% 1.07/0.63 % TRYING [2]
% 1.07/0.63 % TRYING [3]
% 1.07/0.63 % TRYING [4]
% 1.07/0.63 % (2285242)Instruction limit reached!
% 1.07/0.63 % (2285242)------------------------------
% 1.07/0.63 % (2285242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (2285242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (2285242)CaDiCaL version: 2.1.3
% 1.07/0.63 % (2285242)Termination reason: Instruction limit
% 1.07/0.63 % (2285242)Termination phase: Saturation
% 1.07/0.63 % (2285242)Time elapsed: 0.070 s
% 1.07/0.63 % (2285242)Peak memory usage: 12 MB
% 1.07/0.63 % (2285242)Instructions burned: 117 (million)
% 1.07/0.63 % (2285243)Instruction limit reached!
% 1.07/0.63 % (2285243)------------------------------
% 1.07/0.63 % (2285243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (2285243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (2285254)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3996687299:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.07/0.63 % (2285243)CaDiCaL version: 2.1.3
% 1.07/0.63 % (2285243)Termination reason: Instruction limit
% 1.07/0.63 % (2285243)Termination phase: Saturation
% 1.07/0.63 % (2285243)Time elapsed: 0.079 s
% 1.07/0.63 % (2285243)Peak memory usage: 13 MB
% 1.07/0.63 % (2285243)Instructions burned: 131 (million)
% 1.07/0.63 % TRYING [5]
% 1.07/0.63 % (2285255)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=398530549:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.07/0.63 % (2285257)ott-21_1_sil=16000:fs=off:random_seed=1683108435:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.07/0.63 % TRYING [6]
% 1.07/0.63 % TRYING [6]
% 1.07/0.63 % (2285254)Instruction limit reached!
% 1.07/0.63 % (2285254)------------------------------
% 1.07/0.63 % (2285254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (2285254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (2285254)CaDiCaL version: 2.1.3
% 1.07/0.63 % (2285254)Termination reason: Instruction limit
% 1.07/0.63 % (2285254)Termination phase: Saturation
% 1.07/0.63 % (2285254)Time elapsed: 0.084 s
% 1.07/0.63 % (2285254)Peak memory usage: 13 MB
% 1.07/0.63 % (2285254)Instructions burned: 131 (million)
% 1.07/0.63 % (2285255) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2285233-2285255"...
% 1.07/0.63 % (2285255)...printing done.
% 1.07/0.63 % (2285255)Refutation found. Thanks to Tanya!
% 1.07/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.07/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.07/0.63 % (2285255)------------------------------
% 1.07/0.63 % (2285255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (2285255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (2285255)CaDiCaL version: 2.1.3
% 1.07/0.63 % (2285255)Termination reason: Refutation
% 1.07/0.63 % (2285255)Time elapsed: 0.084 s
% 1.07/0.63 % (2285255)Peak memory usage: 13 MB
% 1.07/0.63 % (2285255)Instructions burned: 151 (million)
% 1.07/0.63 % (2285233)Success in time 0.21 s
% 1.07/0.63 % Vampire exiting
%------------------------------------------------------------------------------