%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP658+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 : n016.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 10:18:27 AM UTC 2026
% Result : Theorem 0.24s 15.79s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 26 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 70 ( 67 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
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,X1,X2] : mult(mult(X2,mult(X1,X1)),X0) = mult(mult(X2,X1),mult(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
! [X0] :
? [X1] :
( mult(X1,X0) != X1
| mult(X0,X1) != X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X1,X1)),X0) = mult(mult(X2,X1),mult(X1,X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X2)) = mult(X0,X2),
inference(superposition,[],[f13,f11]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(mult(X1,X2),mult(X2,ld(mult(X1,mult(X2,X2)),X0))) = X0,
inference(superposition,[],[f13,f9]) ).
fof(f32,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X0)) = mult(mult(rd(X1,mult(X2,X2)),X2),X0),
inference(superposition,[],[f18,f9]) ).
fof(f39,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X2,X2)),X2) = rd(mult(X0,X1),mult(X2,X1)),
inference(superposition,[],[f12,f18]) ).
fof(f49,plain,
! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,ld(X0,X2))) = X2,
inference(superposition,[],[f20,f11]) ).
fof(f50,plain,
! [X2,X0,X1] : mult(mult(mult(rd(X0,mult(X1,X1)),X1),X1),mult(X1,ld(mult(X0,X1),X2))) = X2,
inference(superposition,[],[f20,f18]) ).
fof(f534,plain,
! [X0,X1] : mult(mult(rd(X1,mult(X1,X1)),X1),X0) = X0,
inference(superposition,[],[f49,f9]) ).
fof(f851,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),mult(X0,X1)),X2) = X2,
inference(superposition,[],[f534,f39]) ).
fof(f1169,plain,
! [X2,X0] : mult(rd(X0,X0),X2) = X2,
inference(superposition,[],[f851,f9]) ).
fof(f1639,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X1,X1)),mult(X1,ld(mult(X0,X1),X2))) = X2,
inference(forward_demodulation,[],[f50,f32]) ).
fof(f1660,plain,
! [X2,X0,X1] : mult(mult(mult(rd(X1,mult(X1,X1)),X1),ld(X0,X0)),mult(X0,ld(X0,X2))) = X2,
inference(superposition,[],[f1639,f534]) ).
fof(f1722,plain,
! [X2,X0,X1] : mult(mult(mult(rd(X1,mult(X1,X1)),X1),ld(X0,X0)),X2) = X2,
inference(forward_demodulation,[],[f1660,f9]) ).
fof(f1736,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,ld(X0,X0))),X2) = X2,
inference(forward_demodulation,[],[f1722,f32]) ).
fof(f1744,plain,
! [X2,X0] : mult(ld(X0,X0),X2) = X2,
inference(forward_demodulation,[],[f1736,f9]) ).
fof(f1767,plain,
! [X0,X1] : ld(X1,X1) = rd(X0,X0),
inference(superposition,[],[f12,f1744]) ).
fof(f3900,plain,
! [X0,X1] : mult(X1,rd(X0,X0)) = X1,
inference(superposition,[],[f9,f1767]) ).
fof(f9804,plain,
! [X0] :
( sK0(rd(X0,X0)) != sK0(rd(X0,X0))
| sK0(rd(X0,X0)) != mult(rd(X0,X0),sK0(rd(X0,X0))) ),
inference(superposition,[],[f14,f3900]) ).
fof(f9805,plain,
! [X0] : sK0(rd(X0,X0)) != mult(rd(X0,X0),sK0(rd(X0,X0))),
inference(trivial_inequality_removal,[],[f9804]) ).
fof(f9806,plain,
$false,
inference(forward_subsumption_resolution,[],[f9805,f1169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP658+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.12/15.54 % CPULimit : 300
% 0.12/15.54 % WCLimit : 300
% 0.12/15.54 % DateTime : Sun Sep 27 10:35:41 UTC 2026
% 0.12/15.54 % CPUTime :
% 0.12/15.54 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/15.57 Running first-order model finding
% 0.12/15.57 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
% 0.24/15.78 % (2637168)Will run a generic schedule for satisfiability detection.
% 0.24/15.78 % (2637174)% WARNING: option uhcvi not known.
% 0.24/15.78 % (2637174)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3733725686:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/15.78 % (2637173)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3518587142_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/15.78 % (2637175)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3559411519:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/15.78 % (2637176)dis+10_1_sil=32000:sp=arity:random_seed=187889337:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/15.78 % (2637177)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1110909507:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/15.78 % TRYING [1]
% 0.24/15.78 % (2637178)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2796504514:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/15.78 % TRYING [2]
% 0.24/15.78 % (2637179)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=993479614:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/15.78 % TRYING [3]
% 0.24/15.78 % TRYING [4]
% 0.24/15.78 % TRYING [5]
% 0.24/15.78 % TRYING [6]
% 0.24/15.78 % (2637176)Instruction limit reached!
% 0.24/15.78 % (2637176)------------------------------
% 0.24/15.78 % (2637176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/15.78 % (2637176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/15.78 % (2637176)CaDiCaL version: 2.1.3
% 0.24/15.78 % (2637176)Termination reason: Instruction limit
% 0.24/15.78 % (2637176)Termination phase: Saturation
% 0.24/15.78 % (2637176)Time elapsed: 0.057 s
% 0.24/15.78 % (2637176)Peak memory usage: 12 MB
% 0.24/15.78 % (2637176)Instructions burned: 103 (million)
% 0.24/15.78 % (2637177)Instruction limit reached!
% 0.24/15.78 % (2637177)------------------------------
% 0.24/15.78 % (2637177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/15.78 % (2637177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/15.78 % (2637177)CaDiCaL version: 2.1.3
% 0.24/15.78 % (2637177)Termination reason: Instruction limit
% 0.24/15.79 % (2637177)Termination phase: Saturation
% 0.24/15.79 % (2637177)Time elapsed: 0.069 s
% 0.24/15.79 % (2637177)Peak memory usage: 13 MB
% 0.24/15.79 % (2637177)Instructions burned: 116 (million)
% 0.24/15.79 % (2637178)Instruction limit reached!
% 0.24/15.79 % (2637178)------------------------------
% 0.24/15.79 % (2637178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/15.79 % (2637178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/15.79 % (2637178)CaDiCaL version: 2.1.3
% 0.24/15.79 % (2637178)Termination reason: Instruction limit
% 0.24/15.79 % (2637178)Termination phase: Saturation
% 0.24/15.79 % (2637178)Time elapsed: 0.074 s
% 0.24/15.79 % (2637178)Peak memory usage: 13 MB
% 0.24/15.79 % (2637178)Instructions burned: 133 (million)
% 0.24/15.79 % (2637187)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3139875376:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.24/15.79 % TRYING [1]
% 0.24/15.79 % TRYING [2]
% 0.24/15.79 % TRYING [3]
% 0.24/15.79 % TRYING [4]
% 0.24/15.79 % (2637188)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1460213519:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.24/15.79 % TRYING [5]
% 0.24/15.79 % (2637189)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2105343990:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.24/15.79 % (2637179)Instruction limit reached!
% 0.24/15.79 % (2637179)------------------------------
% 0.24/15.79 % (2637179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/15.79 % (2637179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/15.79 % (2637179)CaDiCaL version: 2.1.3
% 0.24/15.79 % (2637179)Termination reason: Instruction limit
% 0.24/15.79 % (2637179)Termination phase: Saturation
% 0.24/15.79 % (2637179)Time elapsed: 0.097 s
% 0.24/15.79 % (2637179)Peak memory usage: 13 MB
% 0.24/15.79 % (2637179)Instructions burned: 159 (million)
% 0.24/15.79 % (2637193)ott-21_1_sil=16000:fs=off:random_seed=4281360126:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.24/15.79 % TRYING [6]
% 0.24/15.79 % (2637174) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2637168-2637174"...
% 0.24/15.79 % (2637174)...printing done.
% 0.24/15.79 % (2637174)Refutation found. Thanks to Tanya!
% 0.24/15.79 % SZS status Theorem for theBenchmark
% 0.24/15.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/15.79 % (2637174)------------------------------
% 0.24/15.79 % (2637174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/15.79 % (2637174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/15.79 % (2637174)CaDiCaL version: 2.1.3
% 0.24/15.79 % (2637174)Termination reason: Refutation
% 0.24/15.79 % (2637174)Time elapsed: 0.171 s
% 0.24/15.79 % (2637174)Peak memory usage: 17 MB
% 0.24/15.79 % (2637174)Instructions burned: 615 (million)
% 0.24/15.79 % (2637168)Success in time 0.203 s
% 0.24/15.79 % Vampire exiting
%------------------------------------------------------------------------------