%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP710-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 10:16:01 AM UTC 2026
% Result : Unsatisfiable 3.07s 1.43s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f7,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
! [X0] : mult(x0,X0) != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f18,plain,
! [X0,X1] : mult(X0,mult(i(X0),mult(i(X0),X1))) = mult(mult(unit,i(X0)),X1),
inference(superposition,[],[f3,f5]) ).
fof(f21,plain,
! [X0,X1] : mult(i(X0),mult(X0,mult(X0,X1))) = mult(mult(unit,X0),X1),
inference(superposition,[],[f3,f7]) ).
fof(f26,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
inference(superposition,[],[f1,f3]) ).
fof(f28,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f31,plain,
! [X0,X1] : mult(X0,X1) = mult(i(X0),mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f21,f2]) ).
fof(f34,plain,
! [X0,X1] : mult(i(X0),X1) = mult(X0,mult(i(X0),mult(i(X0),X1))),
inference(forward_demodulation,[],[f18,f2]) ).
fof(f42,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X1,X1)) = mult(mult(X0,mult(X1,X1)),X1),
inference(superposition,[],[f28,f28]) ).
fof(f43,plain,
! [X0] : mult(unit,X0) = mult(i(X0),mult(X0,X0)),
inference(superposition,[],[f28,f7]) ).
fof(f50,plain,
! [X0] : mult(i(X0),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f43,f2]) ).
fof(f149,plain,
! [X0] : mult(i(i(X0)),mult(i(X0),X0)) = X0,
inference(superposition,[],[f31,f50]) ).
fof(f161,plain,
! [X0] : mult(i(i(X0)),unit) = X0,
inference(forward_demodulation,[],[f149,f7]) ).
fof(f172,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f161,f1]) ).
fof(f223,plain,
! [X0,X1] : mult(i(X0),X1) = mult(i(X0),mult(X0,mult(i(X0),X1))),
inference(superposition,[],[f31,f34]) ).
fof(f229,plain,
! [X0] : x1 != mult(i(x0),X0),
inference(superposition,[],[f8,f34]) ).
fof(f736,plain,
! [X0] : mult(unit,X0) = mult(mult(i(mult(X0,X0)),X0),mult(X0,X0)),
inference(superposition,[],[f42,f7]) ).
fof(f759,plain,
! [X0] : mult(mult(i(mult(X0,X0)),X0),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f736,f2]) ).
fof(f796,plain,
! [X0] : mult(i(mult(i(mult(X0,X0)),X0)),mult(mult(i(mult(X0,X0)),X0),X0)) = X0,
inference(superposition,[],[f31,f759]) ).
fof(f801,plain,
! [X0] : mult(i(mult(i(mult(X0,X0)),X0)),mult(i(mult(X0,X0)),mult(X0,X0))) = X0,
inference(forward_demodulation,[],[f796,f28]) ).
fof(f808,plain,
! [X0] : mult(i(mult(i(mult(X0,X0)),X0)),unit) = X0,
inference(forward_demodulation,[],[f801,f7]) ).
fof(f810,plain,
! [X0] : i(mult(i(mult(X0,X0)),X0)) = X0,
inference(forward_demodulation,[],[f808,f1]) ).
fof(f825,plain,
! [X0] : i(X0) = mult(i(mult(X0,X0)),X0),
inference(superposition,[],[f172,f810]) ).
fof(f847,plain,
! [X0,X1] : mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))) = mult(mult(i(X0),X0),X1),
inference(superposition,[],[f3,f825]) ).
fof(f854,plain,
! [X0,X1] : mult(unit,X1) = mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f847,f7]) ).
fof(f863,plain,
! [X0,X1] : mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))) = X1,
inference(forward_demodulation,[],[f854,f2]) ).
fof(f1152,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = mult(i(mult(i(X0),i(X0))),mult(i(X0),mult(i(X0),X1))),
inference(superposition,[],[f863,f223]) ).
fof(f1188,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(forward_demodulation,[],[f1152,f863]) ).
fof(f1282,plain,
! [X0] : x1 != X0,
inference(superposition,[],[f229,f1188]) ).
fof(f1307,plain,
$false,
inference(equality_resolution,[],[f1282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP710-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:40:30 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.07/1.43 % (1463446)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.07/1.43 % (1463458)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=867408545:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.07/1.43 % (1463458)First to succeed.
% 3.07/1.43 % (1463458)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1463446"
% 3.07/1.43 % (1463452)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=1419805130:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.07/1.43 % (1463457)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1654668166:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.07/1.43 % (1463453)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=628762957:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.07/1.43 % (1463456)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=774158028:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.07/1.43 % (1463454)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2802049911:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.07/1.43 % (1463455)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2605805525:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.07/1.43 % (1463457)Also succeeded, but the first one will report.
% 3.07/1.43 % (1463456)Also succeeded, but the first one will report.
% 3.07/1.43 % (1463455)Also succeeded, but the first one will report.
% 3.07/1.43 % (1463458)Refutation found. Thanks to Tanya!
% 3.07/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.07/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.07/1.43 % (1463458)------------------------------
% 3.07/1.43 % (1463458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.43 % (1463458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.43 % (1463458)CaDiCaL version: 2.1.3
% 3.07/1.43 % (1463458)Termination reason: Refutation
% 3.07/1.43 % (1463458)Time elapsed: 0.016 s
% 3.07/1.43 % (1463458)Peak memory usage: 88 MB
% 3.07/1.43 % (1463458)Instructions burned: 52 (million)
% 3.07/1.43 % (1463458)------------------------------
% 3.07/1.43 % (1463458)------------------------------
% 3.07/1.43 % (1463446)Success in time 0.345 s
% 3.07/1.43 % Vampire exiting
%------------------------------------------------------------------------------