%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD050-4 : 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 : n010.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 09:49:43 AM UTC 2026
% Result : Unsatisfiable 3.88s 0.85s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 23 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| product(X0,X1,X2)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,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(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
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,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f34,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_8) ).
fof(f35,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
fof(f36,negated_conjecture,
product(a,d,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
fof(f37,negated_conjecture,
product(b,c,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_11) ).
fof(f38,negated_conjecture,
~ product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_12) ).
fof(f44,plain,
! [X0] :
( ~ sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f52,plain,
sum(additive_identity,b,additive_identity),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f53,plain,
sum(additive_identity,d,additive_identity),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f79,plain,
product(d,a,k),
inference(resolution,[],[f10,f36]) ).
fof(f118,plain,
product(multiplicative_identity,a,a),
inference(resolution,[],[f8,f27]) ).
fof(f120,plain,
product(multiplicative_identity,c,c),
inference(resolution,[],[f8,f29]) ).
fof(f218,plain,
( product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ defined(b) ),
inference(resolution,[],[f44,f52]) ).
fof(f219,plain,
( product(multiplicative_inverse(d),d,multiplicative_identity)
| ~ defined(d) ),
inference(resolution,[],[f44,f53]) ).
fof(f220,plain,
product(multiplicative_inverse(d),d,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f219,f30]) ).
fof(f221,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f218,f28]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ product(d,X2,X0)
| product(multiplicative_inverse(d),X0,X1)
| ~ product(multiplicative_identity,X2,X1) ),
inference(resolution,[],[f6,f220]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ product(b,X2,X0)
| product(multiplicative_inverse(b),X0,X1)
| ~ product(multiplicative_identity,X2,X1) ),
inference(resolution,[],[f221,f6]) ).
fof(f272,plain,
! [X0] :
( ~ product(multiplicative_identity,a,X0)
| product(multiplicative_inverse(d),k,X0) ),
inference(resolution,[],[f243,f79]) ).
fof(f273,plain,
product(multiplicative_inverse(d),k,a),
inference(resolution,[],[f272,f118]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ product(k,X2,X0)
| product(multiplicative_inverse(d),X0,X1)
| ~ product(a,X2,X1) ),
inference(resolution,[],[f273,f6]) ).
fof(f282,plain,
! [X0] :
( ~ product(multiplicative_identity,c,X0)
| product(multiplicative_inverse(b),k,X0) ),
inference(resolution,[],[f255,f37]) ).
fof(f2223,plain,
product(multiplicative_inverse(b),k,c),
inference(resolution,[],[f120,f282]) ).
fof(f2257,plain,
product(k,multiplicative_inverse(b),c),
inference(resolution,[],[f2223,f10]) ).
fof(f2275,plain,
! [X0] :
( ~ product(a,multiplicative_inverse(b),X0)
| product(multiplicative_inverse(d),c,X0) ),
inference(resolution,[],[f2257,f274]) ).
fof(f2474,plain,
product(multiplicative_inverse(d),c,s),
inference(resolution,[],[f2275,f35]) ).
fof(f2485,plain,
product(c,multiplicative_inverse(d),s),
inference(resolution,[],[f2474,f10]) ).
fof(f2486,plain,
$false,
inference(forward_subsumption_resolution,[],[f2485,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD050-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:40:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 3.88/0.85 % (2520062)Will run a generic schedule for satisfiability detection.
% 3.88/0.85 % (2520068)% WARNING: option uhcvi not known.
% 3.88/0.85 % (2520068)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=721070792:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.88/0.85 % (2520067)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3667880000_2999 on theBenchmark for (2999ds/0Mi)
% 3.88/0.85 % (2520072)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=729847223:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.88/0.85 % (2520069)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3901165317:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.88/0.85 % (2520070)dis+10_1_sil=32000:sp=arity:random_seed=3170483317:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.88/0.85 % (2520071)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1561447131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.88/0.85 % (2520073)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1588201182:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.88/0.85 % TRYING [1]
% 3.88/0.85 % TRYING [2]
% 3.88/0.85 % TRYING [3]
% 3.88/0.85 % TRYING [4]
% 3.88/0.85 % (2520071)Instruction limit reached!
% 3.88/0.85 % (2520071)------------------------------
% 3.88/0.85 % (2520071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520071)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520071)Termination reason: Instruction limit
% 3.88/0.85 % (2520071)Termination phase: Saturation
% 3.88/0.85 % (2520071)Time elapsed: 0.062 s
% 3.88/0.85 % (2520071)Peak memory usage: 12 MB
% 3.88/0.85 % (2520071)Instructions burned: 116 (million)
% 3.88/0.85 % (2520070)Instruction limit reached!
% 3.88/0.85 % (2520070)------------------------------
% 3.88/0.85 % (2520070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520070)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520070)Termination reason: Instruction limit
% 3.88/0.85 % (2520070)Termination phase: Saturation
% 3.88/0.85 % (2520070)Time elapsed: 0.063 s
% 3.88/0.85 % (2520070)Peak memory usage: 12 MB
% 3.88/0.85 % (2520070)Instructions burned: 104 (million)
% 3.88/0.85 % (2520072)Instruction limit reached!
% 3.88/0.85 % (2520072)------------------------------
% 3.88/0.85 % (2520072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520072)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520072)Termination reason: Instruction limit
% 3.88/0.85 % (2520072)Termination phase: Saturation
% 3.88/0.85 % (2520072)Time elapsed: 0.075 s
% 3.88/0.85 % (2520072)Peak memory usage: 17 MB
% 3.88/0.85 % (2520072)Instructions burned: 131 (million)
% 3.88/0.85 % (2520081)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3891866065:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.88/0.85 % (2520082)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2303891965:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.88/0.85 % TRYING [1]
% 3.88/0.85 % TRYING [2]
% 3.88/0.85 % TRYING [3]
% 3.88/0.85 % (2520073)Instruction limit reached!
% 3.88/0.85 % (2520073)------------------------------
% 3.88/0.85 % (2520073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520073)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520073)Termination reason: Instruction limit
% 3.88/0.85 % (2520073)Termination phase: Saturation
% 3.88/0.85 % (2520073)Time elapsed: 0.088 s
% 3.88/0.85 % (2520073)Peak memory usage: 13 MB
% 3.88/0.85 % (2520073)Instructions burned: 159 (million)
% 3.88/0.85 % (2520083)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=1385970516:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.88/0.85 % TRYING [4]
% 3.88/0.85 % TRYING [5]
% 3.88/0.85 % (2520086)ott-21_1_sil=16000:fs=off:random_seed=110034993:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.88/0.85 % (2520082)Instruction limit reached!
% 3.88/0.85 % (2520082)------------------------------
% 3.88/0.85 % (2520082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520082)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520082)Termination reason: Instruction limit
% 3.88/0.85 % (2520082)Termination phase: Saturation
% 3.88/0.85 % (2520082)Time elapsed: 0.075 s
% 3.88/0.85 % (2520082)Peak memory usage: 16 MB
% 3.88/0.85 % (2520082)Instructions burned: 132 (million)
% 3.88/0.85 % (2520089)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2778063363:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.88/0.85 % TRYING [5]
% 3.88/0.85 % (2520086)Instruction limit reached!
% 3.88/0.85 % (2520086)------------------------------
% 3.88/0.85 % (2520086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520086)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520086)Termination reason: Instruction limit
% 3.88/0.85 % (2520086)Termination phase: Saturation
% 3.88/0.85 % (2520086)Time elapsed: 0.093 s
% 3.88/0.85 % (2520086)Peak memory usage: 12 MB
% 3.88/0.85 % (2520086)Instructions burned: 180 (million)
% 3.88/0.85 % (2520091)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1377851777:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.88/0.85 % TRYING [1]
% 3.88/0.85 % TRYING [2]
% 3.88/0.85 % TRYING [3]
% 3.88/0.85 % TRYING [4]
% 3.88/0.85 % TRYING [5]
% 3.88/0.85 % TRYING [6]
% 3.88/0.85 % (2520089)Instruction limit reached!
% 3.88/0.85 % (2520089)------------------------------
% 3.88/0.85 % (2520089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520089)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520089)Termination reason: Instruction limit
% 3.88/0.85 % (2520089)Termination phase: Saturation
% 3.88/0.85 % (2520089)Time elapsed: 0.282 s
% 3.88/0.85 % (2520089)Peak memory usage: 15 MB
% 3.88/0.85 % (2520089)Instructions burned: 478 (million)
% 3.88/0.85 % (2520081)Instruction limit reached!
% 3.88/0.85 % (2520081)------------------------------
% 3.88/0.85 % (2520081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520081)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520081)Termination reason: Instruction limit
% 3.88/0.85 % (2520081)Termination phase: Finite model building SAT solving
% 3.88/0.85 % (2520081)Time elapsed: 0.396 s
% 3.88/0.85 % (2520081)Peak memory usage: 22 MB
% 3.88/0.85 % (2520081)Instructions burned: 714 (million)
% 3.88/0.85 % (2520093)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1655225036:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.88/0.85 % (2520094)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3088236708:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.88/0.85 % (2520083)Instruction limit reached!
% 3.88/0.85 % (2520083)------------------------------
% 3.88/0.85 % (2520083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520083)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520083)Termination reason: Instruction limit
% 3.88/0.85 % (2520083)Termination phase: Saturation
% 3.88/0.85 % (2520083)Time elapsed: 0.412 s
% 3.88/0.85 % (2520083)Peak memory usage: 19 MB
% 3.88/0.85 % (2520083)Instructions burned: 684 (million)
% 3.88/0.85 % (2520097)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2382488335:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 3.88/0.85 % (2520091)Instruction limit reached!
% 3.88/0.85 % (2520091)------------------------------
% 3.88/0.85 % (2520091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520091)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520091)Termination reason: Instruction limit
% 3.88/0.85 % (2520091)Termination phase: Finite model building SAT solving
% 3.88/0.85 % (2520091)Time elapsed: 0.345 s
% 3.88/0.85 % (2520091)Peak memory usage: 25 MB
% 3.88/0.85 % (2520091)Instructions burned: 865 (million)
% 3.88/0.85 % (2520097) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2520062-2520097"...
% 3.88/0.85 % (2520097)...printing done.
% 3.88/0.85 % (2520097)Refutation found. Thanks to Tanya!
% 3.88/0.85 % SZS status Unsatisfiable for theBenchmark
% 3.88/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/0.85 % (2520097)------------------------------
% 3.88/0.85 % (2520097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.85 % (2520097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.85 % (2520097)CaDiCaL version: 2.1.3
% 3.88/0.85 % (2520097)Termination reason: Refutation
% 3.88/0.85 % (2520097)Time elapsed: 0.042 s
% 3.88/0.85 % (2520097)Peak memory usage: 13 MB
% 3.88/0.85 % (2520097)Instructions burned: 73 (million)
% 3.88/0.85 % (2520062)Success in time 0.615 s
% 3.88/0.85 % Vampire exiting
%------------------------------------------------------------------------------