%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP683-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 10:18:32 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.55s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,negated_conjecture,
mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f9,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f10,plain,
mult(x3,x5) != mult(x3,mult(x4,ld(x4,x5))),
inference(superposition,[],[f8,f3]) ).
fof(f12,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f9]) ).
fof(f14,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f4,f2]) ).
fof(f16,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f4,f14]) ).
fof(f22,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f23,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f22,f3]) ).
fof(f25,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f23,f14]) ).
fof(f26,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f16,f23]) ).
fof(f30,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f26,f12]) ).
fof(f32,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[],[f23,f30]) ).
fof(f34,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f14,f30]) ).
fof(f49,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f25,f30]) ).
fof(f71,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f5,f3]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(forward_demodulation,[],[f71,f3]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f74,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(forward_demodulation,[],[f73,f4]) ).
fof(f75,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f72,f1]) ).
fof(f105,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f75,f9]) ).
fof(f130,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f105,f3]) ).
fof(f137,plain,
! [X0] : mult(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f130,f49]) ).
fof(f153,plain,
! [X0] : mult(X0,ld(ld(X0,X0),ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f137,f9]) ).
fof(f192,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,X0)),ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f72,f153]) ).
fof(f196,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(X0,ld(ld(X0,X0),ld(X0,X0))))),
inference(forward_demodulation,[],[f192,f75]) ).
fof(f197,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f196,f153]) ).
fof(f306,plain,
! [X2,X0,X1] : mult(ld(X0,X1),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(superposition,[],[f197,f3]) ).
fof(f312,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(superposition,[],[f197,f9]) ).
fof(f342,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(forward_demodulation,[],[f306,f130]) ).
fof(f515,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(rd(mult(X1,X2),X0),X0),
inference(superposition,[],[f74,f2]) ).
fof(f556,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f515,f9]) ).
fof(f586,plain,
! [X0,X1] : mult(X0,mult(rd(X1,X1),X1)) = mult(mult(rd(X0,X1),X1),X1),
inference(superposition,[],[f515,f4]) ).
fof(f601,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,X1),X1),X1),
inference(forward_demodulation,[],[f586,f14]) ).
fof(f624,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f556,f32]) ).
fof(f638,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f624,f130]) ).
fof(f643,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(superposition,[],[f601,f23]) ).
fof(f659,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X1,X1),X1))),
inference(forward_demodulation,[],[f643,f75]) ).
fof(f663,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(rd(X0,X0),X1),
inference(forward_demodulation,[],[f659,f34]) ).
fof(f664,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[],[f663,f30]) ).
fof(f772,plain,
! [X0,X1] : mult(rd(ld(X0,X0),X1),X1) = rd(mult(X0,ld(X0,X1)),X1),
inference(superposition,[],[f4,f664]) ).
fof(f804,plain,
! [X0,X1] : mult(ld(X0,X0),ld(X1,X1)) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f772,f638]) ).
fof(f844,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f804,f664]) ).
fof(f2501,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,mult(rd(ld(X0,X1),X1),X1)),
inference(superposition,[],[f515,f844]) ).
fof(f2519,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2501,f638]) ).
fof(f2551,plain,
! [X0,X1] : mult(X0,ld(X0,mult(ld(X1,X1),X1))) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2519,f75]) ).
fof(f2568,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2551,f34]) ).
fof(f3690,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(X0,ld(X0,mult(ld(X0,X1),ld(X1,X1)))),
inference(superposition,[],[f3,f2568]) ).
fof(f3718,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3690,f342]) ).
fof(f3736,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X0,X1))) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3718,f3]) ).
fof(f3748,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3736,f312]) ).
fof(f3793,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(ld(X0,X1),ld(ld(X0,X1),ld(X1,X1))),
inference(superposition,[],[f3,f3748]) ).
fof(f3814,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(ld(X0,X1),ld(X0,X1)),
inference(forward_demodulation,[],[f3793,f197]) ).
fof(f5710,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(superposition,[],[f664,f3814]) ).
fof(f5776,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(ld(X1,X1),X2))),
inference(forward_demodulation,[],[f5710,f75]) ).
fof(f5811,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f5776,f664]) ).
fof(f5836,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f5811,f197]) ).
fof(f8526,plain,
! [X2,X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,mult(X2,ld(X2,X1))),
inference(superposition,[],[f130,f5836]) ).
fof(f8611,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8526,f130]) ).
fof(f8833,plain,
mult(x3,x5) != mult(x3,x5),
inference(superposition,[],[f10,f8611]) ).
fof(f8834,plain,
$false,
inference(trivial_inequality_removal,[],[f8833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP683-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:35:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.55 % (3797256)Will run a generic schedule for satisfiability detection.
% 0.16/0.55 % (3797263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3946466871:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.55 % (3797262)% WARNING: option uhcvi not known.
% 0.16/0.55 % (3797261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2330478264_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.55 % (3797262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3587951600:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.55 % (3797264)dis+10_1_sil=32000:sp=arity:random_seed=788649559:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.55 % (3797265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1898192375:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.55 % (3797267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3391164072:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.55 % (3797266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2267244754:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.55 % TRYING [1]
% 0.16/0.55 % TRYING [2]
% 0.16/0.55 % TRYING [3]
% 0.16/0.55 % TRYING [4]
% 0.16/0.55 % (3797264)Instruction limit reached!
% 0.16/0.55 % (3797264)------------------------------
% 0.16/0.55 % (3797264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (3797264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (3797264)CaDiCaL version: 2.1.3
% 0.16/0.55 % (3797264)Termination reason: Instruction limit
% 0.16/0.55 % (3797264)Termination phase: Saturation
% 0.16/0.55 % (3797264)Time elapsed: 0.058 s
% 0.16/0.55 % (3797264)Peak memory usage: 12 MB
% 0.16/0.55 % (3797264)Instructions burned: 103 (million)
% 0.16/0.55 % (3797265)Instruction limit reached!
% 0.16/0.55 % (3797265)------------------------------
% 0.16/0.55 % (3797265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (3797265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (3797265)CaDiCaL version: 2.1.3
% 0.16/0.55 % (3797265)Termination reason: Instruction limit
% 0.16/0.55 % (3797265)Termination phase: Saturation
% 0.16/0.55 % (3797265)Time elapsed: 0.069 s
% 0.16/0.55 % (3797265)Peak memory usage: 12 MB
% 0.16/0.55 % (3797265)Instructions burned: 117 (million)
% 0.16/0.55 % (3797266)Instruction limit reached!
% 0.16/0.55 % (3797266)------------------------------
% 0.16/0.55 % (3797266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (3797266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (3797266)CaDiCaL version: 2.1.3
% 0.16/0.55 % (3797266)Termination reason: Instruction limit
% 0.16/0.55 % (3797266)Termination phase: Saturation
% 0.16/0.55 % (3797266)Time elapsed: 0.078 s
% 0.16/0.55 % (3797266)Peak memory usage: 12 MB
% 0.16/0.55 % (3797266)Instructions burned: 132 (million)
% 0.16/0.55 % (3797275)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4216325769:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.55 % TRYING [1]
% 0.16/0.55 % TRYING [2]
% 0.16/0.55 % TRYING [3]
% 0.16/0.55 % (3797263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3797256-3797263"...
% 0.16/0.55 % (3797263)...printing done.
% 0.16/0.55 % (3797276)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2711133020:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.16/0.55 % (3797263)Refutation found. Thanks to Tanya!
% 0.16/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (3797263)------------------------------
% 0.16/0.55 % (3797263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (3797263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (3797263)CaDiCaL version: 2.1.3
% 0.16/0.55 % (3797263)Termination reason: Refutation
% 0.16/0.55 % (3797263)Time elapsed: 0.098 s
% 0.16/0.55 % (3797263)Peak memory usage: 14 MB
% 0.16/0.55 % (3797263)Instructions burned: 335 (million)
% 0.16/0.55 % (3797256)Success in time 0.127 s
% 0.16/0.55 % Vampire exiting
%------------------------------------------------------------------------------