%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD025-2 : 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 : n001.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 09:49:04 AM UTC 2026
% Result : Unsatisfiable 3.78s 1.22s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
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(f34,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_7) ).
fof(f35,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_8) ).
fof(f36,negated_conjecture,
equalish(multiply(a,c),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_u_9) ).
fof(f37,negated_conjecture,
equalish(multiply(d,b),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_v_10) ).
fof(f38,negated_conjecture,
~ equalish(v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_equal_to_u_11) ).
fof(f41,plain,
equalish(v,multiply(d,b)),
inference(resolution,[],[f22,f37]) ).
fof(f42,plain,
equalish(b,a),
inference(resolution,[],[f22,f34]) ).
fof(f43,plain,
equalish(d,c),
inference(resolution,[],[f22,f35]) ).
fof(f46,plain,
! [X0] :
( ~ equalish(X0,multiply(a,c))
| equalish(X0,u) ),
inference(resolution,[],[f23,f36]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X2,multiply(X1,X0)) ),
inference(resolution,[],[f8,f23]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X1,X0))
| ~ equalish(X1,X2)
| ~ defined(X0)
| equalish(X3,multiply(X2,X0)) ),
inference(resolution,[],[f25,f23]) ).
fof(f71,plain,
! [X0] :
( equalish(multiply(X0,c),u)
| ~ defined(c)
| ~ equalish(X0,a) ),
inference(resolution,[],[f46,f25]) ).
fof(f73,plain,
! [X0] :
( equalish(multiply(X0,c),u)
| ~ equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f71,f30]) ).
fof(f119,plain,
! [X0] :
( ~ equalish(d,X0)
| ~ defined(b)
| equalish(v,multiply(X0,b)) ),
inference(resolution,[],[f57,f41]) ).
fof(f124,plain,
! [X0] :
( equalish(v,multiply(X0,b))
| ~ equalish(d,X0) ),
inference(forward_subsumption_resolution,[],[f119,f29]) ).
fof(f182,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,c))
| ~ equalish(X0,a)
| equalish(X1,u) ),
inference(resolution,[],[f73,f23]) ).
fof(f192,plain,
! [X0] :
( ~ equalish(d,X0)
| ~ defined(b)
| ~ defined(X0)
| equalish(v,multiply(b,X0)) ),
inference(resolution,[],[f124,f53]) ).
fof(f195,plain,
! [X0] :
( equalish(v,multiply(b,X0))
| ~ defined(X0)
| ~ equalish(d,X0) ),
inference(forward_subsumption_resolution,[],[f192,f29]) ).
fof(f1194,plain,
( ~ equalish(b,a)
| equalish(v,u)
| ~ defined(c)
| ~ equalish(d,c) ),
inference(resolution,[],[f182,f195]) ).
fof(f1196,plain,
( equalish(v,u)
| ~ defined(c)
| ~ equalish(d,c) ),
inference(forward_subsumption_resolution,[],[f1194,f42]) ).
fof(f1209,plain,
( ~ defined(c)
| ~ equalish(d,c) ),
inference(forward_subsumption_resolution,[],[f1196,f38]) ).
fof(f1210,plain,
~ equalish(d,c),
inference(forward_subsumption_resolution,[],[f1209,f30]) ).
fof(f1211,plain,
$false,
inference(forward_subsumption_resolution,[],[f1210,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD025-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n001.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 00:34:04 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.78/1.22 % (906010)Input is clausal, will run a generic CNF schedule.
% 3.78/1.22 % (906015)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=3084084495:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.78/1.22 % (906021)dis-21_1_sil=8000:lcm=predicate:random_seed=2465267562: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)
% 3.78/1.22 % (906020)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3814788808:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.78/1.22 % (906016)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2710582377:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.78/1.22 % (906018)lrs+10_1_sil=8000:sp=occurrence:random_seed=1700962868:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.78/1.22 % (906017)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=919068752:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.78/1.22 % (906019)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=982891318:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.78/1.22 % (906018)First to succeed.
% 3.78/1.22 % (906018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-906010"
% 3.78/1.22 % (906019)Instruction limit reached!
% 3.78/1.22 % (906019)------------------------------
% 3.78/1.22 % (906019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.22 % (906019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.22 % (906019)CaDiCaL version: 2.1.3
% 3.78/1.22 % (906019)Termination reason: Instruction limit
% 3.78/1.22 % (906019)Termination phase: Saturation
% 3.78/1.22 % (906019)Time elapsed: 0.068 s
% 3.78/1.22 % (906019)Peak memory usage: 88 MB
% 3.78/1.22 % (906019)Instructions burned: 115 (million)
% 3.78/1.22 % (906021)Instruction limit reached!
% 3.78/1.22 % (906021)------------------------------
% 3.78/1.22 % (906021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.22 % (906021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.22 % (906021)CaDiCaL version: 2.1.3
% 3.78/1.22 % (906021)Termination reason: Instruction limit
% 3.78/1.22 % (906021)Termination phase: Saturation
% 3.78/1.22 % (906021)Time elapsed: 0.075 s
% 3.78/1.22 % (906021)Peak memory usage: 89 MB
% 3.78/1.22 % (906021)Instructions burned: 117 (million)
% 3.78/1.22 % (906020)Instruction limit reached!
% 3.78/1.22 % (906020)------------------------------
% 3.78/1.22 % (906020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.22 % (906020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.22 % (906020)CaDiCaL version: 2.1.3
% 3.78/1.22 % (906020)Termination reason: Instruction limit
% 3.78/1.22 % (906020)Termination phase: Saturation
% 3.78/1.22 % (906020)Time elapsed: 0.118 s
% 3.78/1.22 % (906020)Peak memory usage: 89 MB
% 3.78/1.22 % (906020)Instructions burned: 181 (million)
% 3.78/1.22 % (906029)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=3370986358:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.78/1.22 % (906030)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=784564939: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)
% 3.78/1.22 % (906029)Also succeeded, but the first one will report.
% 3.78/1.22 % (906030)Also succeeded, but the first one will report.
% 3.78/1.22 % (906031)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1829950970:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.78/1.22 % (906018)Refutation found. Thanks to Tanya!
% 3.78/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.78/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.22 % (906018)------------------------------
% 3.78/1.22 % (906018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.22 % (906018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.22 % (906018)CaDiCaL version: 2.1.3
% 3.78/1.22 % (906018)Termination reason: Refutation
% 3.78/1.22 % (906018)Time elapsed: 0.023 s
% 3.78/1.22 % (906018)Peak memory usage: 88 MB
% 3.78/1.22 % (906018)Instructions burned: 34 (million)
% 3.78/1.22 % (906018)------------------------------
% 3.78/1.22 % (906018)------------------------------
% 3.78/1.22 % (906010)Success in time 0.457 s
% 3.78/1.22 % Vampire exiting
%------------------------------------------------------------------------------