%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO029-1 : TPTP v9.3.1. Released v2.2.0.
% 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 09:36:13 AM UTC 2026
% Result : Unsatisfiable 1.76s 0.54s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f3,axiom,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,add(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2) ).
fof(f6,axiom,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f7,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f8,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f9,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f11,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_inverse) ).
fof(f16,plain,
! [X2,X0,X1] : multiply(X1,add(X2,add(X0,X1))) = X1,
inference(superposition,[],[f4,f7]) ).
fof(f290,plain,
! [X2,X0,X1] : add(X0,X1) = add(add(X0,X1),multiply(X2,X0)),
inference(superposition,[],[f1,f3]) ).
fof(f1028,plain,
! [X2,X0,X1] : add(X0,X1) = add(X0,add(X1,multiply(X2,X0))),
inference(forward_demodulation,[],[f290,f9]) ).
fof(f3405,plain,
! [X0,X1] : add(inverse(X1),X0) = add(inverse(X1),multiply(X0,X1)),
inference(superposition,[],[f1028,f6]) ).
fof(f8107,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X0,add(inverse(X0),X1)),
inference(superposition,[],[f1028,f3405]) ).
fof(f14249,plain,
! [X0,X1] : multiply(X1,add(X0,inverse(X0))) = X1,
inference(superposition,[],[f16,f8107]) ).
fof(f14396,plain,
! [X0,X1] : multiply(add(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f14249,f8]) ).
fof(f14696,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X1,inverse(X1)),
inference(superposition,[],[f14396,f14249]) ).
fof(f15277,plain,
! [X0] : add(b,inverse(b)) != add(X0,inverse(X0)),
inference(superposition,[],[f11,f14696]) ).
fof(f15278,plain,
$false,
inference(forward_subsumption_resolution,[],[f15277,f14696]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO029-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n012.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:04:34 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 1.76/0.54 % (3766516)Will run a generic schedule for satisfiability detection.
% 1.76/0.54 % (3766522)% WARNING: option uhcvi not known.
% 1.76/0.54 % (3766524)dis+10_1_sil=32000:sp=arity:random_seed=2042302768:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.76/0.54 % (3766523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=332289421:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.76/0.54 % (3766521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=703334438_2999 on theBenchmark for (2999ds/0Mi)
% 1.76/0.54 % (3766525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1685774088:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.76/0.54 % (3766522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=389233039:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.76/0.54 % (3766527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4049386819:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.76/0.54 % TRYING [1]
% 1.76/0.54 % TRYING [2]
% 1.76/0.54 % TRYING [3]
% 1.76/0.54 % TRYING [4]
% 1.76/0.54 % (3766526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2791378363:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.76/0.54 % TRYING [5]
% 1.76/0.54 % (3766524)Instruction limit reached!
% 1.76/0.54 % (3766524)------------------------------
% 1.76/0.54 % (3766524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.54 % (3766524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.54 % (3766524)CaDiCaL version: 2.1.3
% 1.76/0.54 % (3766524)Termination reason: Instruction limit
% 1.76/0.54 % (3766524)Termination phase: Saturation
% 1.76/0.54 % (3766524)Time elapsed: 0.052 s
% 1.76/0.54 % (3766524)Peak memory usage: 12 MB
% 1.76/0.54 % (3766524)Instructions burned: 104 (million)
% 1.76/0.54 % TRYING [6]
% 1.76/0.54 % (3766525)Instruction limit reached!
% 1.76/0.54 % (3766525)------------------------------
% 1.76/0.54 % (3766525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.54 % (3766525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.54 % (3766525)CaDiCaL version: 2.1.3
% 1.76/0.54 % (3766525)Termination reason: Instruction limit
% 1.76/0.54 % (3766525)Termination phase: Saturation
% 1.76/0.54 % (3766525)Time elapsed: 0.060 s
% 1.76/0.54 % (3766525)Peak memory usage: 12 MB
% 1.76/0.54 % (3766525)Instructions burned: 116 (million)
% 1.76/0.54 % (3766535)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1193088987:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.76/0.54 % TRYING [1]
% 1.76/0.54 % TRYING [2]
% 1.76/0.54 % TRYING [3]
% 1.76/0.54 % (3766526)Instruction limit reached!
% 1.76/0.54 % (3766526)------------------------------
% 1.76/0.54 % (3766526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.54 % (3766526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.54 % (3766526)CaDiCaL version: 2.1.3
% 1.76/0.54 % (3766526)Termination reason: Instruction limit
% 1.76/0.54 % (3766526)Termination phase: Saturation
% 1.76/0.54 % (3766526)Time elapsed: 0.069 s
% 1.76/0.54 % (3766526)Peak memory usage: 12 MB
% 1.76/0.54 % (3766526)Instructions burned: 131 (million)
% 1.76/0.54 % (3766536)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2940497677:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.76/0.54 % TRYING [4]
% 1.76/0.54 % (3766527)Instruction limit reached!
% 1.76/0.54 % (3766527)------------------------------
% 1.76/0.54 % (3766527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.54 % (3766527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.54 % (3766527)CaDiCaL version: 2.1.3
% 1.76/0.54 % (3766527)Termination reason: Instruction limit
% 1.76/0.54 % (3766527)Termination phase: Saturation
% 1.76/0.54 % (3766527)Time elapsed: 0.087 s
% 1.76/0.54 % (3766527)Peak memory usage: 12 MB
% 1.76/0.54 % (3766527)Instructions burned: 160 (million)
% 1.76/0.54 % TRYING [5]
% 1.76/0.54 % (3766540)ott-21_1_sil=16000:fs=off:random_seed=460509468:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.76/0.54 % (3766539)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=4127911513:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.76/0.54 % (3766536)Instruction limit reached!
% 1.76/0.54 % (3766536)------------------------------
% 1.76/0.54 % (3766536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.54 % (3766536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.54 % (3766536)CaDiCaL version: 2.1.3
% 1.76/0.54 % (3766536)Termination reason: Instruction limit
% 1.76/0.54 % (3766536)Termination phase: Saturation
% 1.76/0.54 % (3766536)Time elapsed: 0.075 s
% 1.76/0.54 % (3766536)Peak memory usage: 12 MB
% 1.76/0.54 % (3766536)Instructions burned: 132 (million)
% 1.76/0.54 % TRYING [7]
% 1.76/0.54 % TRYING [6]
% 1.76/0.54 % (3766543)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2352697978:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.76/0.54 % (3766540)Instruction limit reached!
% 1.76/0.54 % (3766540)------------------------------
% 1.76/0.54 % (3766540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.54 % (3766540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.54 % (3766540)CaDiCaL version: 2.1.3
% 1.76/0.54 % (3766540)Termination reason: Instruction limit
% 1.76/0.54 % (3766540)Termination phase: Saturation
% 1.76/0.54 % (3766540)Time elapsed: 0.077 s
% 1.76/0.54 % (3766540)Peak memory usage: 11 MB
% 1.76/0.54 % (3766540)Instructions burned: 181 (million)
% 1.76/0.54 % (3766545)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1423678184:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.76/0.54 % TRYING [1]
% 1.76/0.54 % TRYING [2]
% 1.76/0.54 % TRYING [3]
% 1.76/0.54 % TRYING [4]
% 1.76/0.54 % TRYING [5]
% 1.76/0.54 % (3766523) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3766516-3766523"...
% 1.76/0.54 % (3766523)...printing done.
% 1.76/0.54 % (3766523)Refutation found. Thanks to Tanya!
% 1.76/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.76/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.55 % (3766523)------------------------------
% 1.76/0.55 % (3766523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.55 % (3766523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.55 % (3766523)CaDiCaL version: 2.1.3
% 1.76/0.55 % (3766523)Termination reason: Refutation
% 1.76/0.55 % (3766523)Time elapsed: 0.276 s
% 1.76/0.55 % (3766523)Peak memory usage: 16 MB
% 1.76/0.55 % (3766523)Instructions burned: 575 (million)
% 1.76/0.55 % (3766516)Success in time 0.323 s
% 1.76/0.55 % Vampire exiting
%------------------------------------------------------------------------------