%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP047-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 10:16:29 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 26 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function2) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity1) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity2) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ product(X2,X3,X0)
| product(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
fof(f9,negated_conjecture,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
fof(f10,plain,
! [X0,X1] :
( ~ product(X0,X1,multiply(c,b))
| ~ product(X0,X1,multiply(c,a)) ),
inference(resolution,[],[f4,f9]) ).
fof(f12,plain,
~ product(c,b,multiply(c,a)),
inference(resolution,[],[f10,f3]) ).
fof(f13,plain,
! [X0,X1] :
( product(X0,X1,b)
| ~ product(X0,X1,a) ),
inference(resolution,[],[f7,f8]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ product(c,X0,X1)
| ~ product(X0,X2,b)
| ~ product(X1,X2,multiply(c,a)) ),
inference(resolution,[],[f5,f12]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X2,X3)
| ~ product(X2,X4,X1)
| product(X3,X4,multiply(X0,X1)) ),
inference(resolution,[],[f6,f3]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,a)
| ~ product(c,X0,X2)
| ~ product(X2,X1,multiply(c,a)) ),
inference(resolution,[],[f13,f28]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,a)
| ~ product(c,X0,X2) ),
inference(forward_subsumption_resolution,[],[f66,f45]) ).
fof(f108,plain,
! [X0,X1] : ~ product(X0,X1,a),
inference(resolution,[],[f74,f3]) ).
fof(f148,plain,
$false,
inference(resolution,[],[f108,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP047-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n003.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
% 0.10/0.38 % DateTime : Sun Sep 27 09:18:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.23/0.46 % (235289)Will run a generic schedule for satisfiability detection.
% 0.23/0.46 % (235295)% WARNING: option uhcvi not known.
% 0.23/0.46 % (235295)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2869292520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.46 % (235294)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2327720798_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.46 % (235297)dis+10_1_sil=32000:sp=arity:random_seed=1273450336:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.46 % (235296)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=642258266:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.46 % (235300)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=315382966:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.46 % TRYING [1]
% 0.23/0.46 % (235298)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2659904731:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.46 % (235299)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=741627514:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.46 % TRYING [2]
% 0.23/0.46 % TRYING [3]
% 0.23/0.46 % TRYING [4]
% 0.23/0.46 % (235298) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-235289-235298"...
% 0.23/0.46 % (235298)...printing done.
% 0.23/0.46 % (235298)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.46 % (235298)------------------------------
% 0.23/0.46 % (235298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.46 % (235298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.46 % (235298)CaDiCaL version: 2.1.3
% 0.23/0.46 % (235298)Termination reason: Refutation
% 0.23/0.46 % (235298)Time elapsed: 0.009 s
% 0.23/0.46 % (235298)Peak memory usage: 11 MB
% 0.23/0.46 % (235298)Instructions burned: 15 (million)
% 0.23/0.46 % (235289)Success in time 0.049 s
% 0.23/0.46 % Vampire exiting
%------------------------------------------------------------------------------