%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT004-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:36:52 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
fof(f13,axiom,
! [X2,X0,X1] :
( compose(X0,a) != X1
| compose(X2,a) != X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f14,axiom,
! [X2,X0,X1] :
( compose(X0,b) != X1
| compose(X2,b) != X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f16,axiom,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).
fof(f17,negated_conjecture,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f19,plain,
! [X2,X0] :
( compose(X0,a) != compose(X2,a)
| X0 = X2 ),
inference(equality_resolution,[],[f13]) ).
fof(f20,plain,
! [X2,X0] :
( compose(X0,b) != compose(X2,b)
| X0 = X2 ),
inference(equality_resolution,[],[f14]) ).
fof(f27,plain,
! [X2,X0,X1] :
( compose(X2,b) != compose(X0,compose(X1,b))
| compose(X0,X1) = X2 ),
inference(superposition,[],[f20,f9]) ).
fof(f39,plain,
! [X0] :
( compose(X0,b) != compose(h,compose(a,b))
| compose(g,a) = X0 ),
inference(superposition,[],[f27,f16]) ).
fof(f46,plain,
! [X0,X1] :
( compose(h,compose(a,b)) != compose(X0,compose(X1,b))
| compose(X0,X1) = compose(g,a) ),
inference(superposition,[],[f39,f9]) ).
fof(f83,plain,
compose(g,a) = compose(h,a),
inference(equality_resolution,[],[f46]) ).
fof(f85,plain,
! [X0] :
( compose(X0,a) != compose(h,a)
| g = X0 ),
inference(superposition,[],[f19,f83]) ).
fof(f94,plain,
h = g,
inference(equality_resolution,[],[f85]) ).
fof(f95,plain,
$false,
inference(forward_subsumption_resolution,[],[f94,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT004-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:12:40 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.40 % (207425)Will run a generic schedule for satisfiability detection.
% 0.19/0.40 % (207433)dis+10_1_sil=32000:sp=arity:random_seed=2517012652:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.40 % (207431)% WARNING: option uhcvi not known.
% 0.19/0.40 % (207431)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4165629675:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.40 % (207432)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2378181537:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.40 % (207434)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1378070391:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.40 % (207430)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4023959119_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.40 % (207435)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3298026683:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.40 % TRYING [1]
% 0.19/0.40 % TRYING [2]
% 0.19/0.40 % TRYING [3]
% 0.19/0.40 % TRYING [4]
% 0.19/0.40 % (207436)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3210533883:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.40 % (207433)Instruction limit reached!
% 0.19/0.40 % (207433)------------------------------
% 0.19/0.40 % (207433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.40 % (207433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.40 % (207433)CaDiCaL version: 2.1.3
% 0.19/0.40 % (207433)Termination reason: Instruction limit
% 0.19/0.40 % (207433)Termination phase: Saturation
% 0.19/0.40 % (207433)Time elapsed: 0.033 s
% 0.19/0.40 % (207433)Peak memory usage: 12 MB
% 0.19/0.40 % (207433)Instructions burned: 104 (million)
% 0.19/0.40 % TRYING [5]
% 0.19/0.40 % (207444)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2144820191:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.40 % TRYING [1]
% 0.19/0.40 % TRYING [2]
% 0.19/0.40 % TRYING [3]
% 0.19/0.40 % TRYING [4]
% 0.19/0.40 % TRYING [5]
% 0.19/0.40 % (207434)Instruction limit reached!
% 0.19/0.40 % (207434)------------------------------
% 0.19/0.40 % (207434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.40 % (207434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.40 % (207434)CaDiCaL version: 2.1.3
% 0.19/0.40 % (207434)Termination reason: Instruction limit
% 0.19/0.40 % (207434)Termination phase: Saturation
% 0.19/0.40 % (207434)Time elapsed: 0.070 s
% 0.19/0.40 % (207434)Peak memory usage: 12 MB
% 0.19/0.40 % (207434)Instructions burned: 116 (million)
% 0.19/0.40 % (207446)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1353898827:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.19/0.40 % (207435)Instruction limit reached!
% 0.19/0.40 % (207435)------------------------------
% 0.19/0.40 % (207435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.40 % (207435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.40 % (207435)CaDiCaL version: 2.1.3
% 0.19/0.40 % (207435)Termination reason: Instruction limit
% 0.19/0.40 % (207435)Termination phase: Saturation
% 0.19/0.40 % (207435)Time elapsed: 0.091 s
% 0.19/0.40 % (207435)Peak memory usage: 13 MB
% 0.19/0.40 % (207435)Instructions burned: 131 (million)
% 0.19/0.40 % TRYING [6]
% 0.19/0.40 % (207448)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=1326359896:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.19/0.40 % TRYING [6]
% 0.19/0.40 % (207448) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-207425-207448"...
% 0.19/0.40 % (207448)...printing done.
% 0.19/0.40 % (207448)Refutation found. Thanks to Tanya!
% 0.19/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.40 % (207448)------------------------------
% 0.19/0.40 % (207448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.40 % (207448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.40 % (207448)CaDiCaL version: 2.1.3
% 0.19/0.40 % (207448)Termination reason: Refutation
% 0.19/0.40 % (207448)Time elapsed: 0.005 s
% 0.19/0.40 % (207448)Peak memory usage: 12 MB
% 0.19/0.40 % (207448)Instructions burned: 6 (million)
% 0.19/0.40 % (207425)Success in time 0.157 s
% 0.19/0.40 % Vampire exiting
%------------------------------------------------------------------------------