%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP748-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:18:42 AM UTC 2026
% Result : Unsatisfiable 0.55s 0.50s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 25 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 3 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f10,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f12,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| mult(X0,X1) = mult(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f14,negated_conjecture,
mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,plain,
mult(a,mult(b,mult(c,b))) != mult(a,mult(mult(b,c),b)),
inference(backward_demodulation,[],[f14,f7]) ).
fof(f25,plain,
! [X0] : i(X0) = ld(X0,unit),
inference(superposition,[],[f2,f10]) ).
fof(f27,plain,
! [X0] : ld(i(X0),unit) = X0,
inference(superposition,[],[f2,f12]) ).
fof(f28,plain,
! [X0] : i(i(X0)) = X0,
inference(backward_demodulation,[],[f27,f25]) ).
fof(f49,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(superposition,[],[f8,f3]) ).
fof(f73,plain,
! [X0,X1] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(mult(unit,X1),X0),
inference(superposition,[],[f7,f12]) ).
fof(f84,plain,
! [X0,X1] : mult(X1,X0) = mult(i(X0),mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f73,f6]) ).
fof(f93,plain,
! [X0,X1] :
( mult(ld(X1,X0),X1) = X0
| ld(X1,X0) = mult(i(X1),X0) ),
inference(superposition,[],[f13,f1]) ).
fof(f101,plain,
! [X0,X1] :
( mult(X1,X0) = ld(i(X1),X0)
| mult(X0,X1) = mult(X1,X0) ),
inference(superposition,[],[f2,f13]) ).
fof(f255,plain,
! [X0,X1] : mult(mult(X1,X0),X1) = ld(i(X1),mult(X0,X1)),
inference(superposition,[],[f2,f84]) ).
fof(f775,plain,
! [X0,X1] :
( rd(X0,X1) = ld(X1,X0)
| ld(X1,X0) = mult(i(X1),X0) ),
inference(superposition,[],[f4,f93]) ).
fof(f1003,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| mult(X1,i(X0)) = mult(i(X0),X1) ),
inference(superposition,[],[f101,f28]) ).
fof(f1030,plain,
! [X0,X1] :
( rd(X1,X0) = mult(i(X0),X1)
| ld(X0,X1) = mult(i(X0),X1) ),
inference(forward_demodulation,[],[f1003,f49]) ).
fof(f1036,plain,
! [X0,X1] :
( ld(X0,X1) = mult(i(X0),X1)
| ld(X0,X1) = mult(i(X0),X1) ),
inference(forward_subsumption_demodulation,[],[f1030,f775]) ).
fof(f1037,plain,
! [X0,X1] : ld(X0,X1) = mult(i(X0),X1),
inference(duplicate_literal_removal,[],[f1036]) ).
fof(f1073,plain,
! [X0,X1] : mult(X0,X1) = ld(i(X0),X1),
inference(superposition,[],[f1037,f28]) ).
fof(f1115,plain,
! [X0,X1] : mult(mult(X1,X0),X1) = mult(X1,mult(X0,X1)),
inference(backward_demodulation,[],[f255,f1073]) ).
fof(f1184,plain,
mult(a,mult(b,mult(c,b))) != mult(a,mult(b,mult(c,b))),
inference(backward_demodulation,[],[f15,f1115]) ).
fof(f1185,plain,
$false,
inference(trivial_inequality_removal,[],[f1184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP748-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 % Computer : n012.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sun Sep 27 10:41:05 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 Running first-order model finding
% 0.10/0.36 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
% 0.55/0.50 % (2188257)Will run a generic schedule for satisfiability detection.
% 0.55/0.50 % (2188263)% WARNING: option uhcvi not known.
% 0.55/0.50 % (2188265)dis+10_1_sil=32000:sp=arity:random_seed=18675553:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.55/0.50 % (2188262)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3532817465_3000 on theBenchmark for (3000ds/0Mi)
% 0.55/0.50 % (2188264)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3719257492:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.55/0.50 % (2188263)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4271657163:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.55/0.50 % (2188266)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1529203508:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.55/0.50 % (2188268)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2635121947:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.55/0.50 % (2188267)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2584568721:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.55/0.50 % TRYING [1]
% 0.55/0.50 % TRYING [2]
% 0.55/0.50 % TRYING [3]
% 0.55/0.50 % TRYING [4]
% 0.55/0.50 % TRYING [5]
% 0.55/0.50 % TRYING [6]
% 0.55/0.50 % (2188265)Instruction limit reached!
% 0.55/0.50 % (2188265)------------------------------
% 0.55/0.50 % (2188265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.50 % (2188265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.50 % (2188265)CaDiCaL version: 2.1.3
% 0.55/0.50 % (2188265)Termination reason: Instruction limit
% 0.55/0.50 % (2188265)Termination phase: Saturation
% 0.55/0.50 % (2188265)Time elapsed: 0.050 s
% 0.55/0.50 % (2188265)Peak memory usage: 12 MB
% 0.55/0.50 % (2188265)Instructions burned: 105 (million)
% 0.55/0.50 % (2188266)Instruction limit reached!
% 0.55/0.50 % (2188266)------------------------------
% 0.55/0.50 % (2188266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.50 % (2188266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.50 % (2188266)CaDiCaL version: 2.1.3
% 0.55/0.50 % (2188266)Termination reason: Instruction limit
% 0.55/0.50 % (2188266)Termination phase: Saturation
% 0.55/0.50 % (2188266)Time elapsed: 0.061 s
% 0.55/0.50 % (2188266)Peak memory usage: 12 MB
% 0.55/0.50 % (2188266)Instructions burned: 117 (million)
% 0.55/0.50 % (2188276)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3508166141:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.55/0.50 % TRYING [1]
% 0.55/0.50 % TRYING [2]
% 0.55/0.50 % TRYING [3]
% 0.55/0.50 % TRYING [4]
% 0.55/0.50 % (2188267)Instruction limit reached!
% 0.55/0.50 % (2188267)------------------------------
% 0.55/0.50 % (2188267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.50 % (2188267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.50 % (2188267)CaDiCaL version: 2.1.3
% 0.55/0.50 % (2188267)Termination reason: Instruction limit
% 0.55/0.50 % (2188267)Termination phase: Saturation
% 0.55/0.50 % (2188267)Time elapsed: 0.070 s
% 0.55/0.50 % (2188267)Peak memory usage: 12 MB
% 0.55/0.50 % (2188267)Instructions burned: 131 (million)
% 0.55/0.50 % (2188277)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3183233519:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.55/0.50 % TRYING [5]
% 0.55/0.50 % (2188268)Instruction limit reached!
% 0.55/0.50 % (2188268)------------------------------
% 0.55/0.50 % (2188268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.50 % (2188268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.50 % (2188268)CaDiCaL version: 2.1.3
% 0.55/0.50 % (2188268)Termination reason: Instruction limit
% 0.55/0.50 % (2188268)Termination phase: Saturation
% 0.55/0.50 % (2188268)Time elapsed: 0.087 s
% 0.55/0.50 % (2188268)Peak memory usage: 12 MB
% 0.55/0.50 % (2188268)Instructions burned: 161 (million)
% 0.55/0.50 % (2188280)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=4245141346:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.55/0.50 % (2188277) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2188257-2188277"...
% 0.55/0.50 % (2188277)...printing done.
% 0.55/0.50 % (2188277)Refutation found. Thanks to Tanya!
% 0.55/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.55/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.50 % (2188277)------------------------------
% 0.55/0.50 % (2188277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.50 % (2188277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.50 % (2188277)CaDiCaL version: 2.1.3
% 0.55/0.50 % (2188277)Termination reason: Refutation
% 0.55/0.50 % (2188277)Time elapsed: 0.033 s
% 0.55/0.50 % (2188277)Peak memory usage: 12 MB
% 0.55/0.50 % (2188277)Instructions burned: 86 (million)
% 0.55/0.50 % (2188257)Success in time 0.13 s
% 0.55/0.50 % Vampire exiting
%------------------------------------------------------------------------------