%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO016-1 : 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 : n018.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 09:36:10 AM UTC 2026
% Result : Unsatisfiable 1.93s 0.61s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 22 unt; 0 def)
% Number of atoms : 74 ( 13 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 67 ( 34 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 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(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(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ product(X5,X1,X6)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity3) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X5,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity5) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
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,
product(x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_y) ).
fof(f24,negated_conjecture,
~ sum(x,z,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum) ).
fof(f29,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f32,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f35,plain,
product(y,x,z),
inference(resolution,[],[f4,f23]) ).
fof(f38,plain,
! [X0,X1] :
( ~ sum(inverse(X0),X0,X1)
| multiplicative_identity = X1 ),
inference(resolution,[],[f21,f17]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f21,f1]) ).
fof(f41,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f8]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f22,f2]) ).
fof(f44,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f7]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(add(X3,X0),X1,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X4,X2,X5) ),
inference(resolution,[],[f11,f1]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| product(X5,X2,add(X0,X4)) ),
inference(resolution,[],[f13,f1]) ).
fof(f129,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f41,f2]) ).
fof(f145,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(resolution,[],[f38,f29]) ).
fof(f173,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f40,f29]) ).
fof(f179,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f43,f32]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X2,X4,multiply(add(X0,X3),X1)) ),
inference(resolution,[],[f68,f2]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| ~ sum(X0,X1,X3)
| product(multiplicative_identity,X3,add(X0,X2)) ),
inference(resolution,[],[f90,f18]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| product(multiplicative_identity,X1,add(X0,inverse(X0))) ),
inference(resolution,[],[f410,f8]) ).
fof(f1437,plain,
! [X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| product(multiplicative_identity,X1,multiplicative_identity) ),
inference(forward_demodulation,[],[f1429,f145]) ).
fof(f1545,plain,
! [X0,X1] :
( ~ product(X0,x,X1)
| sum(X1,z,multiply(add(X0,y),x)) ),
inference(resolution,[],[f388,f35]) ).
fof(f1546,plain,
! [X0,X1] :
( ~ product(X0,x,X1)
| sum(X1,z,multiply(x,add(X0,y))) ),
inference(forward_demodulation,[],[f1545,f179]) ).
fof(f2875,plain,
! [X0] : product(multiplicative_identity,add(X0,multiplicative_identity),multiplicative_identity),
inference(resolution,[],[f1437,f1]) ).
fof(f2883,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(resolution,[],[f2875,f44]) ).
fof(f3043,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(superposition,[],[f2883,f173]) ).
fof(f6891,plain,
sum(x,z,multiply(x,add(multiplicative_identity,y))),
inference(resolution,[],[f1546,f7]) ).
fof(f6896,plain,
sum(x,z,multiply(x,multiplicative_identity)),
inference(forward_demodulation,[],[f6891,f3043]) ).
fof(f6901,plain,
sum(x,z,x),
inference(forward_demodulation,[],[f6896,f129]) ).
fof(f6905,plain,
$false,
inference(forward_subsumption_resolution,[],[f6901,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27 % Computer : n018.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.12/0.27 % CPULimit : 300
% 0.12/0.27 % WCLimit : 300
% 0.12/0.27 % DateTime : Mon Sep 28 21:06:26 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.32 Running first-order model finding
% 0.12/0.32 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
% 1.93/0.61 % (3787006)Will run a generic schedule for satisfiability detection.
% 1.93/0.61 % (3787011)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3389978326_2999 on theBenchmark for (2999ds/0Mi)
% 1.93/0.61 % TRYING [1]
% 1.93/0.61 % TRYING [2]
% 1.93/0.61 % TRYING [3]
% 1.93/0.61 % (3787012)% WARNING: option uhcvi not known.
% 1.93/0.61 % TRYING [4]
% 1.93/0.61 % (3787016)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2311326579:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.93/0.61 % (3787012)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1764972412:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.93/0.61 % (3787014)dis+10_1_sil=32000:sp=arity:random_seed=2738705478:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.93/0.61 % (3787013)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1083011602:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.93/0.61 % (3787015)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1306671890:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.93/0.61 % (3787017)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=944161728:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.93/0.61 % TRYING [5]
% 1.93/0.61 % (3787014)Instruction limit reached!
% 1.93/0.61 % (3787014)------------------------------
% 1.93/0.61 % (3787014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3787014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3787014)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3787014)Termination reason: Instruction limit
% 1.93/0.61 % (3787014)Termination phase: Saturation
% 1.93/0.61 % (3787014)Time elapsed: 0.103 s
% 1.93/0.61 % (3787014)Peak memory usage: 12 MB
% 1.93/0.61 % (3787014)Instructions burned: 103 (million)
% 1.93/0.61 % (3787015)Instruction limit reached!
% 1.93/0.61 % (3787015)------------------------------
% 1.93/0.61 % (3787015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3787015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3787015)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3787015)Termination reason: Instruction limit
% 1.93/0.61 % (3787015)Termination phase: Saturation
% 1.93/0.61 % (3787015)Time elapsed: 0.106 s
% 1.93/0.61 % (3787015)Peak memory usage: 12 MB
% 1.93/0.61 % (3787015)Instructions burned: 117 (million)
% 1.93/0.61 % (3787016)Instruction limit reached!
% 1.93/0.61 % (3787016)------------------------------
% 1.93/0.61 % (3787016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3787016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3787016)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3787016)Termination reason: Instruction limit
% 1.93/0.61 % (3787016)Termination phase: Saturation
% 1.93/0.61 % (3787016)Time elapsed: 0.130 s
% 1.93/0.61 % (3787016)Peak memory usage: 12 MB
% 1.93/0.61 % (3787016)Instructions burned: 131 (million)
% 1.93/0.61 % (3787025)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3908037307:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.93/0.61 % TRYING [6]
% 1.93/0.61 % (3787026)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3895083946:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.93/0.61 % TRYING [1]
% 1.93/0.61 % TRYING [2]
% 1.93/0.61 % TRYING [3]
% 1.93/0.61 % (3787027)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=2656926825:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.93/0.61 % TRYING [4]
% 1.93/0.61 % (3787017)Instruction limit reached!
% 1.93/0.61 % (3787017)------------------------------
% 1.93/0.61 % (3787017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3787017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3787017)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3787017)Termination reason: Instruction limit
% 1.93/0.61 % (3787017)Termination phase: Saturation
% 1.93/0.61 % (3787017)Time elapsed: 0.165 s
% 1.93/0.61 % (3787017)Peak memory usage: 12 MB
% 1.93/0.61 % (3787017)Instructions burned: 159 (million)
% 1.93/0.61 % (3787031)ott-21_1_sil=16000:fs=off:random_seed=1556745413:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.93/0.61 % (3787012) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3787006-3787012"...
% 1.93/0.61 % (3787012)...printing done.
% 1.93/0.61 % (3787012)Refutation found. Thanks to Tanya!
% 1.93/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.93/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.61 % (3787012)------------------------------
% 1.93/0.61 % (3787012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3787012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3787012)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3787012)Termination reason: Refutation
% 1.93/0.61 % (3787012)Time elapsed: 0.235 s
% 1.93/0.61 % (3787012)Peak memory usage: 12 MB
% 1.93/0.61 % (3787012)Instructions burned: 227 (million)
% 1.93/0.61 % (3787006)Success in time 0.275 s
% 1.93/0.61 % Vampire exiting
%------------------------------------------------------------------------------