%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD013-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:49:00 AM UTC 2026
% Result : Unsatisfiable 5.22s 1.43s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f33,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_6) ).
fof(f34,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_7) ).
fof(f35,negated_conjecture,
equalish(add(a,c),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_u_8) ).
fof(f36,negated_conjecture,
~ equalish(add(d,b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_u_9) ).
fof(f54,plain,
equalish(u,add(a,c)),
inference(unit_resulting_resolution,[],[f22,f35]) ).
fof(f66,plain,
~ equalish(u,add(d,b)),
inference(unit_resulting_resolution,[],[f22,f36]) ).
fof(f396,plain,
equalish(add(c,b),add(d,b)),
inference(unit_resulting_resolution,[],[f24,f34,f29]) ).
fof(f503,plain,
equalish(add(b,c),add(c,b)),
inference(unit_resulting_resolution,[],[f4,f29,f30]) ).
fof(f689,plain,
equalish(add(a,c),add(b,c)),
inference(unit_resulting_resolution,[],[f24,f33,f30]) ).
fof(f1722,plain,
~ equalish(u,add(c,b)),
inference(unit_resulting_resolution,[],[f23,f66,f396]) ).
fof(f1738,plain,
equalish(u,add(b,c)),
inference(unit_resulting_resolution,[],[f23,f54,f689]) ).
fof(f1775,plain,
~ equalish(add(b,c),add(c,b)),
inference(unit_resulting_resolution,[],[f23,f1722,f1738]) ).
fof(f1790,plain,
$false,
inference(forward_subsumption_resolution,[],[f1775,f503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n011.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 00:25:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.22/1.43 % (3948435)Input is clausal, will run a generic CNF schedule.
% 5.22/1.43 % (3948444)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1159646558:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.22/1.43 % (3948444)Instruction limit reached!
% 5.22/1.43 % (3948444)------------------------------
% 5.22/1.43 % (3948444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948444)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948444)Termination reason: Instruction limit
% 5.22/1.43 % (3948444)Termination phase: Saturation
% 5.22/1.43 % (3948444)Time elapsed: 0.039 s
% 5.22/1.43 % (3948444)Peak memory usage: 88 MB
% 5.22/1.43 % (3948444)Instructions burned: 116 (million)
% 5.22/1.43 % (3948445)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2484978686:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.22/1.43 % (3948440)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=598604608:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.22/1.43 % (3948442)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1383195812:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.22/1.43 % (3948446)dis-21_1_sil=8000:lcm=predicate:random_seed=1946449035:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.22/1.43 % (3948443)lrs+10_1_sil=8000:sp=occurrence:random_seed=3952563216:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.22/1.43 % (3948441)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=662327859:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.22/1.43 % (3948443)Instruction limit reached!
% 5.22/1.43 % (3948443)------------------------------
% 5.22/1.43 % (3948443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948443)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948443)Termination reason: Instruction limit
% 5.22/1.43 % (3948443)Termination phase: Saturation
% 5.22/1.43 % (3948443)Time elapsed: 0.065 s
% 5.22/1.43 % (3948443)Peak memory usage: 89 MB
% 5.22/1.43 % (3948443)Instructions burned: 107 (million)
% 5.22/1.43 % (3948446)Instruction limit reached!
% 5.22/1.43 % (3948446)------------------------------
% 5.22/1.43 % (3948446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948446)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948446)Termination reason: Instruction limit
% 5.22/1.43 % (3948446)Termination phase: Saturation
% 5.22/1.43 % (3948446)Time elapsed: 0.076 s
% 5.22/1.43 % (3948446)Peak memory usage: 89 MB
% 5.22/1.43 % (3948446)Instructions burned: 117 (million)
% 5.22/1.43 % (3948448)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3854669252:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.22/1.43 % (3948445)Instruction limit reached!
% 5.22/1.43 % (3948445)------------------------------
% 5.22/1.43 % (3948445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948445)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948445)Termination reason: Instruction limit
% 5.22/1.43 % (3948445)Termination phase: Saturation
% 5.22/1.43 % (3948445)Time elapsed: 0.133 s
% 5.22/1.43 % (3948445)Peak memory usage: 89 MB
% 5.22/1.43 % (3948445)Instructions burned: 180 (million)
% 5.22/1.43 % (3948448)Instruction limit reached!
% 5.22/1.43 % (3948448)------------------------------
% 5.22/1.43 % (3948448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948448)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948448)Termination reason: Instruction limit
% 5.22/1.43 % (3948448)Termination phase: Saturation
% 5.22/1.43 % (3948448)Time elapsed: 0.046 s
% 5.22/1.43 % (3948448)Peak memory usage: 90 MB
% 5.22/1.43 % (3948448)Instructions burned: 145 (million)
% 5.22/1.43 % (3948455)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2941397875:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.22/1.43 % (3948456)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=826108789:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.22/1.43 % (3948455)First to succeed.
% 5.22/1.43 % (3948455)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3948435"
% 5.22/1.43 % (3948456)Also succeeded, but the first one will report.
% 5.22/1.43 % (3948459)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2291996374:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.22/1.43 % (3948458)lrs+10_64_to=lpo:sil=8000:random_seed=113285983:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.22/1.43 % (3948459)Instruction limit reached!
% 5.22/1.43 % (3948459)------------------------------
% 5.22/1.43 % (3948459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948459)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948459)Termination reason: Instruction limit
% 5.22/1.43 % (3948459)Termination phase: Saturation
% 5.22/1.43 % (3948459)Time elapsed: 0.057 s
% 5.22/1.43 % (3948459)Peak memory usage: 89 MB
% 5.22/1.43 % (3948459)Instructions burned: 195 (million)
% 5.22/1.43 % (3948458)Instruction limit reached!
% 5.22/1.43 % (3948458)------------------------------
% 5.22/1.43 % (3948458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948458)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948458)Termination reason: Instruction limit
% 5.22/1.43 % (3948458)Termination phase: Saturation
% 5.22/1.43 % (3948458)Time elapsed: 0.077 s
% 5.22/1.43 % (3948458)Peak memory usage: 89 MB
% 5.22/1.43 % (3948458)Instructions burned: 127 (million)
% 5.22/1.43 % (3948464)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=243818230:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.22/1.43 % (3948455)Refutation found. Thanks to Tanya!
% 5.22/1.43 % SZS status Unsatisfiable for theBenchmark
% 5.22/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 5.22/1.43 % (3948455)------------------------------
% 5.22/1.43 % (3948455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.43 % (3948455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.43 % (3948455)CaDiCaL version: 2.1.3
% 5.22/1.43 % (3948455)Termination reason: Refutation
% 5.22/1.43 % (3948455)Time elapsed: 0.020 s
% 5.22/1.43 % (3948455)Peak memory usage: 89 MB
% 5.22/1.43 % (3948455)Instructions burned: 36 (million)
% 5.22/1.43 % (3948455)------------------------------
% 5.22/1.43 % (3948455)------------------------------
% 5.22/1.43 % (3948435)Success in time 0.659 s
% 5.22/1.43 % Vampire exiting
%------------------------------------------------------------------------------