%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n019.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 10:18:37 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% 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(f582,plain,
! [X0] : mult(unit,X0) = mult(mult(i(mult(X0,X0)),X0),mult(X0,X0)),
inference(superposition,[],[f42,f7]) ).
fof(f603,plain,
! [X0] : mult(mult(i(mult(X0,X0)),X0),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f582,f2]) ).
fof(f636,plain,
! [X0] : mult(i(mult(i(mult(X0,X0)),X0)),mult(mult(i(mult(X0,X0)),X0),X0)) = X0,
inference(superposition,[],[f31,f603]) ).
fof(f641,plain,
! [X0] : mult(i(mult(i(mult(X0,X0)),X0)),mult(i(mult(X0,X0)),mult(X0,X0))) = X0,
inference(forward_demodulation,[],[f636,f28]) ).
fof(f648,plain,
! [X0] : mult(i(mult(i(mult(X0,X0)),X0)),unit) = X0,
inference(forward_demodulation,[],[f641,f7]) ).
fof(f650,plain,
! [X0] : i(mult(i(mult(X0,X0)),X0)) = X0,
inference(forward_demodulation,[],[f648,f1]) ).
fof(f664,plain,
! [X0] : i(X0) = mult(i(mult(X0,X0)),X0),
inference(superposition,[],[f172,f650]) ).
fof(f685,plain,
! [X0,X1] : mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))) = mult(mult(i(X0),X0),X1),
inference(superposition,[],[f3,f664]) ).
fof(f691,plain,
! [X0,X1] : mult(unit,X1) = mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f685,f7]) ).
fof(f700,plain,
! [X0,X1] : mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))) = X1,
inference(forward_demodulation,[],[f691,f2]) ).
fof(f731,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,[],[f700,f223]) ).
fof(f758,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(forward_demodulation,[],[f731,f700]) ).
fof(f835,plain,
! [X0] : x1 != X0,
inference(superposition,[],[f229,f758]) ).
fof(f857,plain,
$false,
inference(equality_resolution,[],[f835]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:37:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.46 % (2899746)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (2899753)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3399285318:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (2899752)% WARNING: option uhcvi not known.
% 0.11/0.46 % (2899752)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3379927678:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (2899754)dis+10_1_sil=32000:sp=arity:random_seed=1950697859:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (2899751)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3461637076_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (2899755)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3839785809:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % TRYING [4]
% 0.11/0.46 % (2899753) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2899746-2899753"...
% 0.11/0.46 % (2899753)...printing done.
% 0.11/0.46 % (2899753)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2899753)------------------------------
% 0.11/0.46 % (2899753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2899753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2899753)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2899753)Termination reason: Refutation
% 0.11/0.46 % (2899753)Time elapsed: 0.011 s
% 0.11/0.46 % (2899753)Peak memory usage: 11 MB
% 0.11/0.46 % (2899753)Instructions burned: 34 (million)
% 0.11/0.46 % (2899746)Success in time 0.046 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------