%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP703-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 10:15:59 AM UTC 2026
% Result : Unsatisfiable 0.18s 1.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 20 unt; 1 def)
% Number of atoms : 20 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f9,axiom,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f11,axiom,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f12,axiom,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f12) ).
fof(f14,negated_conjecture,
mult(x2,mult(x3,op_e)) != mult(mult(x2,x3),op_e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f15,definition,
~ sP0(mult(x2,mult(x3,op_e))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f16,plain,
sP0(mult(mult(x2,x3),op_e)),
inference(inequality_splitting,[],[f14,f15]) ).
fof(f38,plain,
op_c = op_d,
inference(superposition,[],[f2,f11]) ).
fof(f43,plain,
! [X0,X1] : mult(X0,mult(X1,op_d)) = mult(mult(X0,X1),op_d),
inference(backward_demodulation,[],[f9,f38]) ).
fof(f46,plain,
! [X0,X1] : op_e = mult(mult(rd(op_d,mult(X0,X1)),X1),X0),
inference(backward_demodulation,[],[f12,f38]) ).
fof(f146,plain,
! [X0] : op_e = mult(rd(op_d,mult(unit,X0)),X0),
inference(superposition,[],[f5,f46]) ).
fof(f149,plain,
! [X0] : op_e = mult(rd(op_d,X0),X0),
inference(forward_demodulation,[],[f146,f6]) ).
fof(f165,plain,
op_d = op_e,
inference(forward_demodulation,[],[f149,f3]) ).
fof(f171,plain,
~ sP0(mult(x2,mult(x3,op_d))),
inference(backward_demodulation,[],[f15,f165]) ).
fof(f172,plain,
sP0(mult(mult(x2,x3),op_d)),
inference(backward_demodulation,[],[f16,f165]) ).
fof(f182,plain,
sP0(mult(x2,mult(x3,op_d))),
inference(forward_demodulation,[],[f172,f43]) ).
fof(f183,plain,
$false,
inference(forward_subsumption_resolution,[],[f182,f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:36:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/1.50 % (603897)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.18/1.50 % (603968)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1698259931:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.18/1.50 % (603964)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=776507285:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.18/1.50 % (603963)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1696246393:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.18/1.50 % (603965)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4237082367:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.18/1.50 % (603967)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3808907086:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.18/1.50 % (603966)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=976160610:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.18/1.50 % (603966)First to succeed.
% 0.18/1.50 % (603966)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-603897"
% 0.18/1.50 % (603971)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2440973082:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.18/1.50 % (603971)Also succeeded, but the first one will report.
% 0.18/1.50 % (603967)Also succeeded, but the first one will report.
% 0.18/1.50 % (603968)Instruction limit reached!
% 0.18/1.50 % (603968)------------------------------
% 0.18/1.50 % (603968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (603968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (603968)CaDiCaL version: 2.1.3
% 0.18/1.50 % (603968)Termination reason: Instruction limit
% 0.18/1.50 % (603968)Termination phase: Saturation
% 0.18/1.50 % (603968)Time elapsed: 0.082 s
% 0.18/1.50 % (603968)Peak memory usage: 89 MB
% 0.18/1.50 % (603968)Instructions burned: 258 (million)
% 0.18/1.50 % (603985)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3715735047:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 0.18/1.50 % (603966)Refutation found. Thanks to Tanya!
% 0.18/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.50 % (603966)------------------------------
% 0.18/1.50 % (603966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (603966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (603966)CaDiCaL version: 2.1.3
% 0.18/1.50 % (603966)Termination reason: Refutation
% 0.18/1.50 % (603966)Time elapsed: 0.008 s
% 0.18/1.50 % (603966)Peak memory usage: 87 MB
% 0.18/1.50 % (603966)Instructions burned: 10 (million)
% 0.18/1.50 % (603966)------------------------------
% 0.18/1.50 % (603966)------------------------------
% 0.18/1.50 % (603897)Success in time 0.451 s
% 0.18/1.50 % Vampire exiting
%------------------------------------------------------------------------------