%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD001-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:49:29 AM UTC 2026
% Result : Unsatisfiable 3.37s 0.82s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 30
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 101 ( 50 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X5,X6,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| ~ product(X4,X1,X6)
| ~ sum(X5,X6,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
fof(f13,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_addition) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
fof(f18,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
fof(f21,axiom,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
fof(f22,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
fof(f23,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f25,axiom,
! [X2,X0,X1] :
( less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2)
| ~ product(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication) ).
fof(f26,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',different_identities) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
fof(f30,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).
fof(f80,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD001-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 00:27:04 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.26 Running first-order model finding
% 0.08/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.37/0.82 % (7963)Will run a generic schedule for satisfiability detection.
% 3.37/0.82 % (7972)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3608419854:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.37/0.82 % (7969)% WARNING: option uhcvi not known.
% 3.37/0.82 % (7968)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3212643559_2999 on theBenchmark for (2999ds/0Mi)
% 3.37/0.82 % (7969)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=663167600:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.37/0.82 % (7970)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2230827850:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.37/0.82 % (7971)dis+10_1_sil=32000:sp=arity:random_seed=2438181825:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.37/0.82 % (7974)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3059094776:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.37/0.82 % (7973)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2966016519:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.37/0.82 % TRYING [1]
% 3.37/0.82 % TRYING [2]
% 3.37/0.82 % TRYING [3]
% 3.37/0.82 % TRYING [4]
% 3.37/0.82 % (7972)Instruction limit reached!
% 3.37/0.82 % (7972)------------------------------
% 3.37/0.82 % (7972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7972)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7972)Termination reason: Instruction limit
% 3.37/0.82 % (7972)Termination phase: Saturation
% 3.37/0.82 % (7972)Time elapsed: 0.056 s
% 3.37/0.82 % (7972)Peak memory usage: 11 MB
% 3.37/0.82 % (7972)Instructions burned: 117 (million)
% 3.37/0.82 % TRYING [5]
% 3.37/0.82 % (7982)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=742283654:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.37/0.82 % TRYING [1]
% 3.37/0.82 % TRYING [2]
% 3.37/0.82 % TRYING [3]
% 3.37/0.82 % TRYING [4]
% 3.37/0.82 % TRYING [5]
% 3.37/0.82 % (7971)Instruction limit reached!
% 3.37/0.82 % (7971)------------------------------
% 3.37/0.82 % (7971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7971)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7971)Termination reason: Instruction limit
% 3.37/0.82 % (7971)Termination phase: Saturation
% 3.37/0.82 % (7971)Time elapsed: 0.107 s
% 3.37/0.82 % (7971)Peak memory usage: 11 MB
% 3.37/0.82 % (7971)Instructions burned: 104 (million)
% 3.37/0.82 % (7984)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3630496867:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.37/0.82 % (7973)Instruction limit reached!
% 3.37/0.82 % (7973)------------------------------
% 3.37/0.82 % (7973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7973)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7973)Termination reason: Instruction limit
% 3.37/0.82 % (7973)Termination phase: Saturation
% 3.37/0.82 % (7973)Time elapsed: 0.156 s
% 3.37/0.82 % (7973)Peak memory usage: 15 MB
% 3.37/0.82 % (7973)Instructions burned: 131 (million)
% 3.37/0.82 % TRYING [6]
% 3.37/0.82 % TRYING [6]
% 3.37/0.82 % (7974)Instruction limit reached!
% 3.37/0.82 % (7974)------------------------------
% 3.37/0.82 % (7974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7974)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7974)Termination reason: Instruction limit
% 3.37/0.82 % (7974)Termination phase: Saturation
% 3.37/0.82 % (7974)Time elapsed: 0.174 s
% 3.37/0.82 % (7974)Peak memory usage: 13 MB
% 3.37/0.82 % (7974)Instructions burned: 159 (million)
% 3.37/0.82 % (7986)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=629019741:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 3.37/0.82 % (7987)ott-21_1_sil=16000:fs=off:random_seed=3176556351:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 3.37/0.82 % (7984)Instruction limit reached!
% 3.37/0.82 % (7984)------------------------------
% 3.37/0.82 % (7984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7984)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7984)Termination reason: Instruction limit
% 3.37/0.82 % (7984)Termination phase: Saturation
% 3.37/0.82 % (7984)Time elapsed: 0.135 s
% 3.37/0.82 % (7984)Peak memory usage: 15 MB
% 3.37/0.82 % (7984)Instructions burned: 131 (million)
% 3.37/0.82 % TRYING [7]
% 3.37/0.82 % (7990)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4195699916:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.37/0.82 % (7982)Instruction limit reached!
% 3.37/0.82 % (7982)------------------------------
% 3.37/0.82 % (7982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7982)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7982)Termination reason: Instruction limit
% 3.37/0.82 % (7982)Termination phase: Finite model building constraint generation
% 3.37/0.82 % (7982)Time elapsed: 0.280 s
% 3.37/0.82 % (7982)Peak memory usage: 30 MB
% 3.37/0.82 % (7982)Instructions burned: 716 (million)
% 3.37/0.82 % (7987)Instruction limit reached!
% 3.37/0.82 % (7987)------------------------------
% 3.37/0.82 % (7987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7987)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7987)Termination reason: Instruction limit
% 3.37/0.82 % (7987)Termination phase: Saturation
% 3.37/0.82 % (7987)Time elapsed: 0.163 s
% 3.37/0.82 % (7987)Peak memory usage: 11 MB
% 3.37/0.82 % (7987)Instructions burned: 180 (million)
% 3.37/0.82 % TRYING [7]
% 3.37/0.82 % (7992)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1454862429:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 3.37/0.82 % TRYING [1]
% 3.37/0.82 % TRYING [2]
% 3.37/0.82 % TRYING [3]
% 3.37/0.82 % (7993)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=377034232:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.37/0.82 % TRYING [4]
% 3.37/0.82 % (7992) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-7963-7992"...
% 3.37/0.82 % (7992)...printing done.
% 3.37/0.82 % (7992)Refutation found. Thanks to Tanya!
% 3.37/0.82 % SZS status Unsatisfiable for theBenchmark
% 3.37/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/0.82 % (7992)------------------------------
% 3.37/0.82 % (7992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.82 % (7992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.82 % (7992)CaDiCaL version: 2.1.3
% 3.37/0.82 % (7992)Termination reason: Refutation
% 3.37/0.82 % (7992)Time elapsed: 0.072 s
% 3.37/0.82 % (7992)Peak memory usage: 12 MB
% 3.37/0.82 % (7992)Instructions burned: 103 (million)
% 3.37/0.82 % (7963)Success in time 0.544 s
% 3.37/0.82 % Vampire exiting
%------------------------------------------------------------------------------