%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO013-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:36:09 AM UTC 2026
% Result : Unsatisfiable 5.42s 1.08s
% Output : Refutation 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 16 unt; 0 def)
% Number of atoms : 44 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity1) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
fof(f24,negated_conjecture,
sum(x,y,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_to_multiplicative_identity1) ).
fof(f25,negated_conjecture,
sum(x,z,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_to_multiplicative_identity2) ).
fof(f26,negated_conjecture,
product(x,y,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_to_additive_identity1) ).
fof(f27,negated_conjecture,
product(x,z,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_to_additive_identity2) ).
fof(f28,negated_conjecture,
y != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_both_inverse_are_equal) ).
fof(f43,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f48,plain,
product(y,x,additive_identity),
inference(resolution,[],[f4,f26]) ).
fof(f49,plain,
product(z,x,additive_identity),
inference(resolution,[],[f4,f27]) ).
fof(f57,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X1,multiplicative_identity)
| ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| sum(X4,X2,X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f9883,plain,
! [X2,X0,X1] :
( ~ product(X0,y,X1)
| ~ product(X0,x,X2)
| sum(X2,X1,X0) ),
inference(resolution,[],[f201,f24]) ).
fof(f9884,plain,
! [X2,X0,X1] :
( ~ product(X0,z,X1)
| ~ product(X0,x,X2)
| sum(X2,X1,X0) ),
inference(resolution,[],[f201,f25]) ).
fof(f11846,plain,
! [X0,X1] :
( sum(X1,multiply(X0,y),X0)
| ~ product(X0,x,X1) ),
inference(resolution,[],[f9883,f2]) ).
fof(f11888,plain,
! [X0] :
( ~ product(X0,x,additive_identity)
| multiply(X0,y) = X0 ),
inference(resolution,[],[f11846,f57]) ).
fof(f12297,plain,
z = multiply(z,y),
inference(resolution,[],[f11888,f49]) ).
fof(f12324,plain,
product(y,z,z),
inference(superposition,[],[f43,f12297]) ).
fof(f16578,plain,
! [X0] :
( ~ product(y,x,X0)
| sum(X0,z,y) ),
inference(resolution,[],[f9884,f12324]) ).
fof(f16588,plain,
sum(additive_identity,z,y),
inference(resolution,[],[f16578,f48]) ).
fof(f16600,plain,
y = z,
inference(resolution,[],[f16588,f57]) ).
fof(f16615,plain,
$false,
inference(forward_subsumption_resolution,[],[f16600,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO013-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n016.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 21:08:49 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.28 Running first-order model finding
% 0.10/0.28 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
% 5.42/1.08 % (4011132)Will run a generic schedule for satisfiability detection.
% 5.42/1.08 % (4011137)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3608584079_2999 on theBenchmark for (2999ds/0Mi)
% 5.42/1.08 % TRYING [1]
% 5.42/1.08 % TRYING [2]
% 5.42/1.08 % TRYING [3]
% 5.42/1.08 % (4011138)% WARNING: option uhcvi not known.
% 5.42/1.08 % (4011139)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3196286858:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.42/1.08 % (4011138)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3432600692:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.42/1.08 % (4011141)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=952148966:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.42/1.08 % (4011142)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1230349647:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.42/1.08 % (4011143)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3753052455:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.42/1.08 % (4011140)dis+10_1_sil=32000:sp=arity:random_seed=3770468057:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.42/1.08 % TRYING [4]
% 5.42/1.08 % TRYING [5]
% 5.42/1.08 % (4011141)Instruction limit reached!
% 5.42/1.08 % (4011141)------------------------------
% 5.42/1.08 % (4011141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011141)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011141)Termination reason: Instruction limit
% 5.42/1.08 % (4011141)Termination phase: Saturation
% 5.42/1.08 % (4011141)Time elapsed: 0.101 s
% 5.42/1.08 % (4011141)Peak memory usage: 12 MB
% 5.42/1.08 % (4011141)Instructions burned: 116 (million)
% 5.42/1.08 % (4011140)Instruction limit reached!
% 5.42/1.08 % (4011140)------------------------------
% 5.42/1.08 % (4011140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011140)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011140)Termination reason: Instruction limit
% 5.42/1.08 % (4011140)Termination phase: Saturation
% 5.42/1.08 % (4011140)Time elapsed: 0.105 s
% 5.42/1.08 % (4011140)Peak memory usage: 12 MB
% 5.42/1.08 % (4011140)Instructions burned: 103 (million)
% 5.42/1.08 % (4011151)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1675641575:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.42/1.08 % TRYING [1]
% 5.42/1.08 % TRYING [2]
% 5.42/1.08 % (4011142)Instruction limit reached!
% 5.42/1.08 % (4011142)------------------------------
% 5.42/1.08 % (4011142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011142)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011142)Termination reason: Instruction limit
% 5.42/1.08 % (4011142)Termination phase: Saturation
% 5.42/1.08 % (4011142)Time elapsed: 0.132 s
% 5.42/1.08 % (4011142)Peak memory usage: 12 MB
% 5.42/1.08 % (4011142)Instructions burned: 131 (million)
% 5.42/1.08 % TRYING [3]
% 5.42/1.08 % (4011152)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2456325864:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.42/1.08 % TRYING [6]
% 5.42/1.08 % TRYING [4]
% 5.42/1.08 % (4011143)Instruction limit reached!
% 5.42/1.08 % (4011143)------------------------------
% 5.42/1.08 % (4011143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011143)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011143)Termination reason: Instruction limit
% 5.42/1.08 % (4011143)Termination phase: Saturation
% 5.42/1.08 % (4011143)Time elapsed: 0.164 s
% 5.42/1.08 % (4011143)Peak memory usage: 13 MB
% 5.42/1.08 % (4011143)Instructions burned: 159 (million)
% 5.42/1.08 % (4011154)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=886196200:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.42/1.08 % (4011156)ott-21_1_sil=16000:fs=off:random_seed=1333837665:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 5.42/1.08 % TRYING [5]
% 5.42/1.08 % (4011152)Instruction limit reached!
% 5.42/1.08 % (4011152)------------------------------
% 5.42/1.08 % (4011152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011152)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011152)Termination reason: Instruction limit
% 5.42/1.08 % (4011152)Termination phase: Saturation
% 5.42/1.08 % (4011152)Time elapsed: 0.116 s
% 5.42/1.08 % (4011152)Peak memory usage: 12 MB
% 5.42/1.08 % (4011152)Instructions burned: 132 (million)
% 5.42/1.08 % (4011161)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1047700717:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.42/1.08 % (4011156)Instruction limit reached!
% 5.42/1.08 % (4011156)------------------------------
% 5.42/1.08 % (4011156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011156)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011156)Termination reason: Instruction limit
% 5.42/1.08 % (4011156)Termination phase: Saturation
% 5.42/1.08 % (4011156)Time elapsed: 0.179 s
% 5.42/1.08 % (4011156)Peak memory usage: 12 MB
% 5.42/1.08 % (4011156)Instructions burned: 180 (million)
% 5.42/1.08 % (4011163)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2348887736:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 5.42/1.08 % TRYING [1]
% 5.42/1.08 % TRYING [2]
% 5.42/1.08 % TRYING [7]
% 5.42/1.08 % TRYING [3]
% 5.42/1.08 % TRYING [4]
% 5.42/1.08 % TRYING [6]
% 5.42/1.08 % TRYING [5]
% 5.42/1.08 % (4011151)Instruction limit reached!
% 5.42/1.08 % (4011151)------------------------------
% 5.42/1.08 % (4011151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011151)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011151)Termination reason: Instruction limit
% 5.42/1.08 % (4011151)Termination phase: Finite model building constraint generation
% 5.42/1.08 % (4011151)Time elapsed: 0.512 s
% 5.42/1.08 % (4011151)Peak memory usage: 29 MB
% 5.42/1.08 % (4011151)Instructions burned: 715 (million)
% 5.42/1.08 % (4011161)Instruction limit reached!
% 5.42/1.08 % (4011161)------------------------------
% 5.42/1.08 % (4011161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011161)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011161)Termination reason: Instruction limit
% 5.42/1.08 % (4011161)Termination phase: Saturation
% 5.42/1.08 % (4011161)Time elapsed: 0.399 s
% 5.42/1.08 % (4011161)Peak memory usage: 13 MB
% 5.42/1.08 % (4011161)Instructions burned: 477 (million)
% 5.42/1.08 % (4011169)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1175690240:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 5.42/1.08 % (4011172)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=914542876:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 5.42/1.08 % (4011154) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4011132-4011154"...
% 5.42/1.08 % (4011154)...printing done.
% 5.42/1.08 % (4011154)Refutation found. Thanks to Tanya!
% 5.42/1.08 % SZS status Unsatisfiable for theBenchmark
% 5.42/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 5.42/1.08 % (4011154)------------------------------
% 5.42/1.08 % (4011154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (4011154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (4011154)CaDiCaL version: 2.1.3
% 5.42/1.08 % (4011154)Termination reason: Refutation
% 5.42/1.08 % (4011154)Time elapsed: 0.565 s
% 5.42/1.08 % (4011154)Peak memory usage: 16 MB
% 5.42/1.08 % (4011154)Instructions burned: 560 (million)
% 5.42/1.08 % (4011132)Success in time 0.783 s
% 5.42/1.08 % Vampire exiting
%------------------------------------------------------------------------------