%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP433-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 10:17:49 AM UTC 2026
% Result : Unsatisfiable 1.13s 0.63s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X4,inverse(X4)))),
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[],[f3,f3]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X2)),X1),inverse(X1)),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[],[f1,f15]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f15]) ).
fof(f93,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[],[f37,f35]) ).
fof(f112,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f93,f93]) ).
fof(f137,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f15,f93]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X0,inverse(X0))),X3)),inverse(X3)),multiply(X4,inverse(X4)))),
inference(superposition,[],[f3,f137]) ).
fof(f237,plain,
! [X3,X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X3),inverse(X3))),
inference(forward_demodulation,[],[f220,f37]) ).
fof(f305,plain,
! [X2,X3,X0,X1] : inverse(X2) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f237]) ).
fof(f2028,plain,
! [X0,X1,X4] : inverse(X1) = inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X4,inverse(X4)))),
inference(superposition,[],[f305,f137]) ).
fof(f2222,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X0))))) = X0,
inference(superposition,[],[f2028,f35]) ).
fof(f2334,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))))))),
inference(superposition,[],[f2222,f305]) ).
fof(f2401,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(forward_demodulation,[],[f2334,f2222]) ).
fof(f2614,plain,
! [X2,X3,X0,X1] : inverse(X1) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X0,inverse(X0))),X1),multiply(X3,inverse(X3)))),
inference(superposition,[],[f2028,f2401]) ).
fof(f2617,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(multiply(X0,inverse(X0)),X1)),
inference(forward_demodulation,[],[f2614,f37]) ).
fof(f2685,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(superposition,[],[f2222,f2617]) ).
fof(f2825,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))))))),
inference(superposition,[],[f2685,f112]) ).
fof(f2837,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f2685,f2222]) ).
fof(f2912,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f2825,f2222]) ).
fof(f2980,plain,
! [X2,X0] : inverse(X0) = inverse(multiply(X0,multiply(X2,inverse(X2)))),
inference(superposition,[],[f2028,f2837]) ).
fof(f4452,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,multiply(X1,inverse(X1))),
inference(superposition,[],[f2685,f2980]) ).
fof(f4459,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[],[f4452,f2685]) ).
fof(f4598,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f4459,f2912]) ).
fof(f4882,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),multiply(X2,inverse(X2))),multiply(X3,inverse(X3)))) = X1,
inference(superposition,[],[f35,f4598]) ).
fof(f4922,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[],[f4882,f2980]) ).
fof(f4976,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = X1,
inference(forward_demodulation,[],[f4922,f2980]) ).
fof(f5003,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f4976,f2617]) ).
fof(f5054,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X0),X0),
inference(superposition,[],[f15,f5003]) ).
fof(f6603,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f5054]) ).
fof(f6619,plain,
$false,
inference(forward_subsumption_resolution,[],[f6603,f5054]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP433-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:04:30 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 1.13/0.63 % (2168419)Will run a generic schedule for satisfiability detection.
% 1.13/0.63 % (2168424)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2410473590_2999 on theBenchmark for (2999ds/0Mi)
% 1.13/0.63 % TRYING [1]
% 1.13/0.63 % TRYING [2]
% 1.13/0.63 % TRYING [3]
% 1.13/0.63 % (2168425)% WARNING: option uhcvi not known.
% 1.13/0.63 % (2168427)dis+10_1_sil=32000:sp=arity:random_seed=784106842:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.13/0.63 % (2168426)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3139249373:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.13/0.63 % (2168428)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3087651486:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.13/0.63 % (2168429)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3570405175:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.13/0.63 % (2168430)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=525079472:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.13/0.63 % (2168425)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1879634490:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.13/0.63 % TRYING [4]
% 1.13/0.63 % (2168427)Instruction limit reached!
% 1.13/0.63 % (2168427)------------------------------
% 1.13/0.63 % (2168427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.63 % (2168427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.63 % (2168427)CaDiCaL version: 2.1.3
% 1.13/0.63 % (2168427)Termination reason: Instruction limit
% 1.13/0.63 % (2168427)Termination phase: Saturation
% 1.13/0.63 % (2168427)Time elapsed: 0.054 s
% 1.13/0.63 % (2168427)Peak memory usage: 12 MB
% 1.13/0.63 % (2168427)Instructions burned: 103 (million)
% 1.13/0.63 % (2168428)Instruction limit reached!
% 1.13/0.63 % (2168428)------------------------------
% 1.13/0.63 % (2168428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.63 % (2168428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.63 % (2168428)CaDiCaL version: 2.1.3
% 1.13/0.63 % (2168428)Termination reason: Instruction limit
% 1.13/0.63 % (2168428)Termination phase: Saturation
% 1.13/0.63 % (2168428)Time elapsed: 0.063 s
% 1.13/0.63 % (2168428)Peak memory usage: 12 MB
% 1.13/0.63 % (2168428)Instructions burned: 116 (million)
% 1.13/0.63 % (2168429)Instruction limit reached!
% 1.13/0.63 % (2168429)------------------------------
% 1.13/0.63 % (2168429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.63 % (2168429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.63 % (2168429)CaDiCaL version: 2.1.3
% 1.13/0.63 % (2168429)Termination reason: Instruction limit
% 1.13/0.63 % (2168429)Termination phase: Saturation
% 1.13/0.63 % (2168429)Time elapsed: 0.072 s
% 1.13/0.63 % (2168429)Peak memory usage: 12 MB
% 1.13/0.63 % (2168429)Instructions burned: 132 (million)
% 1.13/0.63 % (2168438)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3816853561:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.13/0.63 % TRYING [1]
% 1.13/0.63 % TRYING [2]
% 1.13/0.63 % TRYING [3]
% 1.13/0.63 % (2168439)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1183561278:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.13/0.63 % (2168430)Instruction limit reached!
% 1.13/0.63 % (2168430)------------------------------
% 1.13/0.63 % (2168430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.63 % (2168430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.63 % (2168430)CaDiCaL version: 2.1.3
% 1.13/0.63 % (2168430)Termination reason: Instruction limit
% 1.13/0.63 % (2168430)Termination phase: Saturation
% 1.13/0.63 % (2168430)Time elapsed: 0.090 s
% 1.13/0.63 % (2168430)Peak memory usage: 12 MB
% 1.13/0.63 % (2168430)Instructions burned: 159 (million)
% 1.13/0.63 % (2168440)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=2818697908:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.13/0.63 % TRYING [4]
% 1.13/0.63 % (2168444)ott-21_1_sil=16000:fs=off:random_seed=2487178424:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.13/0.63 % (2168439)Instruction limit reached!
% 1.13/0.63 % (2168439)------------------------------
% 1.13/0.63 % (2168439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.63 % (2168439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.63 % (2168439)CaDiCaL version: 2.1.3
% 1.13/0.63 % (2168439)Termination reason: Instruction limit
% 1.13/0.63 % (2168439)Termination phase: Saturation
% 1.13/0.63 % (2168439)Time elapsed: 0.071 s
% 1.13/0.63 % (2168439)Peak memory usage: 12 MB
% 1.13/0.63 % (2168439)Instructions burned: 131 (million)
% 1.13/0.63 % (2168446)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3252094791:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.13/0.63 % (2168426) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2168419-2168426"...
% 1.13/0.63 % (2168426)...printing done.
% 1.13/0.63 % (2168426)Refutation found. Thanks to Tanya!
% 1.13/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.13/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.13/0.63 % (2168426)------------------------------
% 1.13/0.63 % (2168426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.63 % (2168426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.63 % (2168426)CaDiCaL version: 2.1.3
% 1.13/0.63 % (2168426)Termination reason: Refutation
% 1.13/0.63 % (2168426)Time elapsed: 0.188 s
% 1.13/0.63 % (2168426)Peak memory usage: 14 MB
% 1.13/0.63 % (2168426)Instructions burned: 399 (million)
% 1.13/0.63 % (2168419)Success in time 0.224 s
% 1.13/0.63 % Vampire exiting
%------------------------------------------------------------------------------