%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO017-1 : 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 : 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 09:36:11 AM UTC 2026
% Result : Unsatisfiable 3.65s 1.01s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 25 unt; 0 def)
% Number of atoms : 85 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 81 ( 41 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 102 ( 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
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(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_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(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X5,X6)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity5) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
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(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplication_is_well_defined) ).
fof(f23,axiom,
sum(x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus_y) ).
fof(f24,negated_conjecture,
~ product(x,z,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product) ).
fof(f31,plain,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
inference(resolution,[],[f17,f3]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ sum(X3,X1,multiplicative_identity)
| ~ product(X0,X1,X2)
| sum(X4,X2,X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f49,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f1,f3]) ).
fof(f52,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f2,f4]) ).
fof(f56,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f6]) ).
fof(f59,plain,
! [X0,X1] :
( ~ sum(X0,inverse(X0),X1)
| multiplicative_identity = X1 ),
inference(resolution,[],[f21,f31]) ).
fof(f177,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f7]) ).
fof(f205,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f177,f52]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X3)
| ~ sum(X0,X1,multiplicative_identity)
| sum(multiply(X2,X0),X3,X2) ),
inference(resolution,[],[f34,f2]) ).
fof(f482,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,multiply(X3,X1),X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| product(X4,X2,X5) ),
inference(resolution,[],[f13,f2]) ).
fof(f842,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X3,multiplicative_identity)
| sum(X0,X4,X2) ),
inference(resolution,[],[f14,f7]) ).
fof(f1349,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| sum(multiply(X2,X0),multiply(X2,X1),X2) ),
inference(resolution,[],[f292,f2]) ).
fof(f1350,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| sum(multiply(X2,X0),multiply(X1,X2),X2) ),
inference(resolution,[],[f292,f52]) ).
fof(f5673,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| ~ sum(X0,X2,multiplicative_identity)
| sum(X0,X2,X1) ),
inference(resolution,[],[f842,f8]) ).
fof(f6705,plain,
! [X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| sum(X0,X1,add(X0,multiplicative_identity)) ),
inference(resolution,[],[f5673,f1]) ).
fof(f6716,plain,
! [X0] : sum(X0,inverse(X0),add(X0,multiplicative_identity)),
inference(resolution,[],[f6705,f31]) ).
fof(f6721,plain,
sum(multiplicative_identity,additive_identity,add(multiplicative_identity,multiplicative_identity)),
inference(resolution,[],[f6705,f6]) ).
fof(f6782,plain,
multiplicative_identity = add(multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f6721,f56]) ).
fof(f6802,plain,
sum(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(superposition,[],[f1,f6782]) ).
fof(f6896,plain,
! [X0] : sum(multiply(X0,multiplicative_identity),multiply(X0,multiplicative_identity),X0),
inference(resolution,[],[f6802,f1349]) ).
fof(f6922,plain,
! [X0] : sum(X0,X0,X0),
inference(forward_demodulation,[],[f6896,f205]) ).
fof(f7152,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(resolution,[],[f6716,f59]) ).
fof(f7219,plain,
! [X0] : sum(multiplicative_identity,X0,multiplicative_identity),
inference(superposition,[],[f49,f7152]) ).
fof(f7461,plain,
! [X0,X1] : sum(multiply(X0,multiplicative_identity),multiply(X1,X0),X0),
inference(resolution,[],[f7219,f1350]) ).
fof(f7519,plain,
! [X0,X1] : sum(X0,multiply(X1,X0),X0),
inference(forward_demodulation,[],[f7461,f205]) ).
fof(f10594,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X0,X3)
| ~ sum(X0,X1,X2)
| product(X2,X3,X0) ),
inference(resolution,[],[f482,f7519]) ).
fof(f16392,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X0,X0) ),
inference(resolution,[],[f10594,f6922]) ).
fof(f16476,plain,
product(z,x,x),
inference(resolution,[],[f16392,f23]) ).
fof(f16480,plain,
product(x,z,x),
inference(resolution,[],[f16476,f4]) ).
fof(f16525,plain,
$false,
inference(forward_subsumption_resolution,[],[f16480,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.29 % Computer : n005.cluster.edu
% 0.13/0.29 % Model : x86_64 x86_64
% 0.13/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.29 % Memory : 8046.5625MB
% 0.13/0.29 % OS : Linux 6.8.0-71-generic
% 0.13/0.29 % CPULimit : 300
% 0.13/0.29 % WCLimit : 300
% 0.13/0.29 % DateTime : Mon Sep 28 21:04:01 UTC 2026
% 0.13/0.29 % CPUTime :
% 0.13/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.29/0.34 Running first-order model finding
% 0.29/0.34 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
% 3.65/1.00 % (1173380)Will run a generic schedule for satisfiability detection.
% 3.65/1.00 % (1173386)% WARNING: option uhcvi not known.
% 3.65/1.00 % (1173386)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1501190468:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.65/1.00 % (1173391)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=897496150:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.65/1.00 % (1173387)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3082019548:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.65/1.00 % (1173388)dis+10_1_sil=32000:sp=arity:random_seed=3652621407:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.65/1.00 % (1173389)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1321488328:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.65/1.00 % (1173385)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=826819648_2999 on theBenchmark for (2999ds/0Mi)
% 3.65/1.00 % (1173390)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3515388352:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.65/1.00 % TRYING [1]
% 3.65/1.00 % TRYING [2]
% 3.65/1.00 % TRYING [3]
% 3.65/1.00 % TRYING [4]
% 3.65/1.00 % TRYING [5]
% 3.65/1.00 % (1173389)Instruction limit reached!
% 3.65/1.00 % (1173389)------------------------------
% 3.65/1.00 % (1173389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/1.00 % (1173389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.00 % (1173389)CaDiCaL version: 2.1.3
% 3.65/1.00 % (1173389)Termination reason: Instruction limit
% 3.65/1.00 % (1173389)Termination phase: Saturation
% 3.65/1.00 % (1173389)Time elapsed: 0.096 s
% 3.65/1.00 % (1173389)Peak memory usage: 12 MB
% 3.65/1.00 % (1173389)Instructions burned: 116 (million)
% 3.65/1.00 % (1173388)Instruction limit reached!
% 3.65/1.00 % (1173388)------------------------------
% 3.65/1.00 % (1173388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/1.00 % (1173388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.00 % (1173388)CaDiCaL version: 2.1.3
% 3.65/1.00 % (1173388)Termination reason: Instruction limit
% 3.65/1.00 % (1173388)Termination phase: Saturation
% 3.65/1.00 % (1173388)Time elapsed: 0.108 s
% 3.65/1.00 % (1173388)Peak memory usage: 11 MB
% 3.65/1.00 % (1173388)Instructions burned: 104 (million)
% 3.65/1.00 % (1173390)Instruction limit reached!
% 3.65/1.00 % (1173390)------------------------------
% 3.65/1.00 % (1173390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/1.00 % (1173390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.00 % (1173390)CaDiCaL version: 2.1.3
% 3.65/1.00 % (1173390)Termination reason: Instruction limit
% 3.65/1.00 % (1173390)Termination phase: Saturation
% 3.65/1.00 % (1173390)Time elapsed: 0.132 s
% 3.65/1.00 % (1173390)Peak memory usage: 12 MB
% 3.65/1.00 % (1173390)Instructions burned: 131 (million)
% 3.65/1.00 % (1173399)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3350639853:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.65/1.00 % TRYING [1]
% 3.65/1.00 % TRYING [2]
% 3.65/1.00 % TRYING [3]
% 3.65/1.00 % (1173391)Instruction limit reached!
% 3.65/1.00 % (1173391)------------------------------
% 3.65/1.00 % (1173391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/1.00 % (1173391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.00 % (1173391)CaDiCaL version: 2.1.3
% 3.65/1.00 % (1173391)Termination reason: Instruction limit
% 3.65/1.00 % (1173391)Termination phase: Saturation
% 3.65/1.00 % (1173391)Time elapsed: 0.150 s
% 3.65/1.00 % (1173391)Peak memory usage: 12 MB
% 3.65/1.00 % (1173391)Instructions burned: 159 (million)
% 3.65/1.00 % (1173400)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3333718990:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.65/1.00 % TRYING [4]
% 3.65/1.00 % (1173401)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=12509708:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.65/1.00 % (1173404)ott-21_1_sil=16000:fs=off:random_seed=876245195:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.65/1.00 % TRYING [5]
% 3.65/1.00 % TRYING [6]
% 3.65/1.00 % (1173400)Instruction limit reached!
% 3.65/1.00 % (1173400)------------------------------
% 3.65/1.00 % (1173400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/1.01 % (1173400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.01 % (1173400)CaDiCaL version: 2.1.3
% 3.65/1.01 % (1173400)Termination reason: Instruction limit
% 3.65/1.01 % (1173400)Termination phase: Saturation
% 3.65/1.01 % (1173400)Time elapsed: 0.140 s
% 3.65/1.01 % (1173400)Peak memory usage: 13 MB
% 3.65/1.01 % (1173400)Instructions burned: 131 (million)
% 3.65/1.01 % (1173404)Instruction limit reached!
% 3.65/1.01 % (1173404)------------------------------
% 3.65/1.01 % (1173404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/1.01 % (1173404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.01 % (1173404)CaDiCaL version: 2.1.3
% 3.65/1.01 % (1173404)Termination reason: Instruction limit
% 3.65/1.01 % (1173404)Termination phase: Saturation
% 3.65/1.01 % (1173404)Time elapsed: 0.151 s
% 3.65/1.01 % (1173404)Peak memory usage: 12 MB
% 3.65/1.01 % (1173404)Instructions burned: 180 (million)
% 3.65/1.01 % (1173407)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=357158468:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.65/1.01 % (1173408)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2692178966:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 3.65/1.01 % TRYING [1]
% 3.65/1.01 % TRYING [2]
% 3.65/1.01 % TRYING [3]
% 3.65/1.01 % TRYING [4]
% 3.65/1.01 % TRYING [6]
% 3.65/1.01 % TRYING [5]
% 3.65/1.01 % (1173401) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1173380-1173401"...
% 3.65/1.01 % (1173401)...printing done.
% 3.65/1.01 % (1173401)Refutation found. Thanks to Tanya!
% 3.65/1.01 % SZS status Unsatisfiable for theBenchmark
% 3.65/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.01 % (1173401)------------------------------
% 3.65/1.01 % (1173401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/1.01 % (1173401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.01 % (1173401)CaDiCaL version: 2.1.3
% 3.65/1.01 % (1173401)Termination reason: Refutation
% 3.65/1.01 % (1173401)Time elapsed: 0.408 s
% 3.65/1.01 % (1173401)Peak memory usage: 14 MB
% 3.65/1.01 % (1173401)Instructions burned: 430 (million)
% 3.65/1.01 % (1173380)Success in time 0.647 s
% 3.65/1.01 % Vampire exiting
%------------------------------------------------------------------------------