%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP700+1 : TPTP v9.3.1. Released v4.0.0.
% 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 10:18:35 AM UTC 2026
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 27 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 48 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X2),mult(X2,X0)) = mult(X2,mult(mult(mult(X1,X2),X2),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f9,conjecture,
! [X0] :
? [X1] :
( mult(X1,X0) = unit
& mult(X0,X1) = unit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f10,negated_conjecture,
~ ! [X0] :
? [X1] :
( mult(X1,X0) = unit
& mult(X0,X1) = unit ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
? [X0] :
! [X1] :
( mult(X1,X0) != unit
| unit != mult(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
! [X1] :
( unit != mult(X1,sK0)
| unit != mult(sK0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f11]) ).
fof(f13,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f19,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X2),mult(X2,X0)) = mult(X2,mult(mult(mult(X1,X2),X2),X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f21,plain,
! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] :
( unit != mult(ld(sK0,X0),sK0)
| unit != X0 ),
inference(superposition,[],[f21,f13]) ).
fof(f44,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f14,f15]) ).
fof(f68,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f16,f18]) ).
fof(f87,plain,
! [X0,X1] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
inference(superposition,[],[f19,f17]) ).
fof(f95,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
inference(forward_demodulation,[],[f87,f17]) ).
fof(f108,plain,
! [X0,X1] : mult(X1,mult(mult(ld(X1,X0),X1),X1)) = mult(mult(X0,X1),X1),
inference(superposition,[],[f95,f13]) ).
fof(f205,plain,
! [X0,X1] : rd(mult(mult(X0,X1),X1),mult(mult(ld(X1,X0),X1),X1)) = X1,
inference(superposition,[],[f16,f108]) ).
fof(f524,plain,
! [X0] : rd(mult(X0,X0),mult(mult(ld(X0,unit),X0),X0)) = X0,
inference(superposition,[],[f205,f18]) ).
fof(f575,plain,
! [X0] : ld(X0,mult(X0,X0)) = mult(mult(ld(X0,unit),X0),X0),
inference(superposition,[],[f44,f524]) ).
fof(f578,plain,
! [X0] : mult(mult(ld(X0,unit),X0),X0) = X0,
inference(forward_demodulation,[],[f575,f14]) ).
fof(f603,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,unit),X0),
inference(superposition,[],[f16,f578]) ).
fof(f616,plain,
! [X0] : unit = mult(ld(X0,unit),X0),
inference(forward_demodulation,[],[f603,f68]) ).
fof(f633,plain,
( unit != unit
| unit != unit ),
inference(superposition,[],[f33,f616]) ).
fof(f650,plain,
unit != unit,
inference(duplicate_literal_removal,[],[f633]) ).
fof(f651,plain,
$false,
inference(trivial_inequality_removal,[],[f650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP700+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.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 10:38:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 0.16/0.51 % (324462)Will run a generic schedule for satisfiability detection.
% 0.16/0.51 % (324468)% WARNING: option uhcvi not known.
% 0.16/0.51 % (324467)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1795588607_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.51 % (324468)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1685458508:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.51 % TRYING [1]
% 0.16/0.51 % TRYING [2]
% 0.16/0.51 % TRYING [3]
% 0.16/0.51 % TRYING [4]
% 0.16/0.51 % (324473)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1998689204:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.51 % (324470)dis+10_1_sil=32000:sp=arity:random_seed=1586178652:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.51 % (324471)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1887680197:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.51 % (324469)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2554914570:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.51 % (324472)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1477177258:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.51 % TRYING [5]
% 0.16/0.51 % (324469) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-324462-324469"...
% 0.16/0.51 % (324469)...printing done.
% 0.16/0.51 % (324469)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (324469)------------------------------
% 0.16/0.51 % (324469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.51 % (324469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.51 % (324469)CaDiCaL version: 2.1.3
% 0.16/0.51 % (324469)Termination reason: Refutation
% 0.16/0.51 % (324469)Time elapsed: 0.030 s
% 0.16/0.51 % (324469)Peak memory usage: 12 MB
% 0.16/0.51 % (324469)Instructions burned: 28 (million)
% 0.16/0.51 % (324462)Success in time 0.087 s
% 0.16/0.51 % Vampire exiting
%------------------------------------------------------------------------------