%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP045-2 : 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 : n005.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 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 21 ~; 16 |; 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',total_function1) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
fof(f9,axiom,
product(c,a,result),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_with_a) ).
fof(f10,negated_conjecture,
~ product(c,b,result),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_with_b) ).
fof(f11,plain,
! [X0,X1] :
( product(X0,X1,b)
| ~ product(X0,X1,a) ),
inference(resolution,[],[f7,f8]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ product(c,X0,X1)
| ~ product(X0,X2,b)
| ~ product(X1,X2,result) ),
inference(resolution,[],[f5,f10]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ product(c,X0,X2)
| ~ product(X2,X1,result)
| ~ product(X0,X1,a) ),
inference(resolution,[],[f30,f11]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ product(c,X0,X1)
| ~ product(X0,X2,a)
| product(X1,X2,result) ),
inference(resolution,[],[f6,f9]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ product(c,X0,X1)
| ~ product(X0,X2,a) ),
inference(forward_subsumption_resolution,[],[f60,f37]) ).
fof(f73,plain,
! [X0,X1] : ~ product(X0,X1,a),
inference(resolution,[],[f71,f3]) ).
fof(f93,plain,
$false,
inference(resolution,[],[f73,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP045-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:16:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.46 % (3717554)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (3717568)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=100211087:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.17/0.46 % (3717564)% WARNING: option uhcvi not known.
% 0.17/0.46 % (3717563)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=799954090_3000 on theBenchmark for (3000ds/0Mi)
% 0.17/0.46 % (3717565)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1320305906:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.17/0.46 % (3717566)dis+10_1_sil=32000:sp=arity:random_seed=2736696259:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.17/0.46 % (3717564)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3024395925:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.17/0.46 % (3717567)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3644606818:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.17/0.46 % (3717569)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3843942963:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % TRYING [3]
% 0.17/0.46 % TRYING [4]
% 0.17/0.46 % (3717567) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3717554-3717567"...
% 0.17/0.46 % (3717567)...printing done.
% 0.17/0.46 % (3717567)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (3717567)------------------------------
% 0.17/0.46 % (3717567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (3717567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (3717567)CaDiCaL version: 2.1.3
% 0.17/0.46 % (3717567)Termination reason: Refutation
% 0.17/0.46 % (3717567)Time elapsed: 0.006 s
% 0.17/0.46 % (3717567)Peak memory usage: 11 MB
% 0.17/0.46 % (3717567)Instructions burned: 9 (million)
% 0.17/0.46 % (3717554)Success in time 0.032 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------