%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:11:32 PM UTC 2026
% Result : Unsatisfiable 4.21s 1.62s
% Output : Refutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f7,axiom,
! [X2,X0,X1] : equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity1) ).
fof(f8,axiom,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity2) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,subtract(X1,X3))
| ~ equalish(X2,subtract(X0,X3))
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subtract_substitution1) ).
fof(f13,negated_conjecture,
~ equalish(add(a,subtract(b,c)),add(subtract(a,c),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f14,plain,
! [X0] :
( ~ equalish(X0,add(subtract(a,c),b))
| ~ equalish(add(a,subtract(b,c)),X0) ),
inference(resolution,[],[f2,f13]) ).
fof(f16,plain,
! [X0,X1] :
( ~ equalish(add(a,subtract(b,c)),X0)
| ~ equalish(X1,add(subtract(a,c),b))
| ~ equalish(X0,X1) ),
inference(resolution,[],[f14,f2]) ).
fof(f72,plain,
! [X0] :
( ~ equalish(X0,add(subtract(a,c),b))
| ~ equalish(add(subtract(b,c),a),X0) ),
inference(resolution,[],[f16,f3]) ).
fof(f176,plain,
~ equalish(add(subtract(b,c),a),subtract(add(a,b),c)),
inference(resolution,[],[f72,f8]) ).
fof(f403,plain,
! [X0] :
( ~ equalish(add(subtract(b,c),a),subtract(X0,c))
| ~ equalish(X0,add(a,b)) ),
inference(resolution,[],[f176,f11]) ).
fof(f3112,plain,
~ equalish(add(b,a),add(a,b)),
inference(resolution,[],[f403,f7]) ).
fof(f3463,plain,
$false,
inference(resolution,[],[f3112,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 18:39:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.21/1.62 % (3328777)Input is clausal, will run a generic CNF schedule.
% 4.21/1.62 % (3328853)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=1715940681:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.21/1.62 % (3328859)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2731787246:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.21/1.62 % (3328860)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3838632368:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.21/1.62 % (3328858)lrs+10_1_sil=8000:sp=occurrence:random_seed=1855181370:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.21/1.62 % (3328855)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3417022255:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.21/1.62 % (3328862)dis-21_1_sil=8000:lcm=predicate:random_seed=4057468426: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)
% 4.21/1.62 % (3328858)Instruction limit reached!
% 4.21/1.62 % (3328858)------------------------------
% 4.21/1.62 % (3328858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.62 % (3328858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.62 % (3328858)CaDiCaL version: 2.1.3
% 4.21/1.62 % (3328858)Termination reason: Instruction limit
% 4.21/1.62 % (3328858)Termination phase: Saturation
% 4.21/1.62 % (3328858)Time elapsed: 0.063 s
% 4.21/1.62 % (3328858)Peak memory usage: 89 MB
% 4.21/1.62 % (3328858)Instructions burned: 107 (million)
% 4.21/1.62 % (3328859)Instruction limit reached!
% 4.21/1.62 % (3328859)------------------------------
% 4.21/1.62 % (3328859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.62 % (3328859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.62 % (3328859)CaDiCaL version: 2.1.3
% 4.21/1.62 % (3328859)Termination reason: Instruction limit
% 4.21/1.62 % (3328859)Termination phase: Saturation
% 4.21/1.62 % (3328859)Time elapsed: 0.075 s
% 4.21/1.62 % (3328859)Peak memory usage: 88 MB
% 4.21/1.62 % (3328859)Instructions burned: 115 (million)
% 4.21/1.62 % (3328856)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2765000869:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.21/1.62 % (3328862)First to succeed.
% 4.21/1.62 % (3328862)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3328777"
% 4.21/1.62 % (3328860)Also succeeded, but the first one will report.
% 4.21/1.62 % (3328873)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=4135487781:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.21/1.62 % (3328873)Refutation not found, incomplete strategy
% 4.21/1.62 % (3328873)------------------------------
% 4.21/1.62 % (3328873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.62 % (3328873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.62 % (3328873)CaDiCaL version: 2.1.3
% 4.21/1.62 % (3328873)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.62 % (3328873)Time elapsed: 0.001 s
% 4.21/1.62 % (3328873)Peak memory usage: 87 MB
% 4.21/1.62 % (3328875)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3110185081: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)
% 4.21/1.62 % (3328875)Also succeeded, but the first one will report.
% 4.21/1.62 % (3328862)Refutation found. Thanks to Tanya!
% 4.21/1.62 % SZS status Unsatisfiable for theBenchmark
% 4.21/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 4.21/1.62 % (3328862)------------------------------
% 4.21/1.62 % (3328862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.62 % (3328862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.62 % (3328862)CaDiCaL version: 2.1.3
% 4.21/1.62 % (3328862)Termination reason: Refutation
% 4.21/1.62 % (3328862)Time elapsed: 0.076 s
% 4.21/1.62 % (3328862)Peak memory usage: 89 MB
% 4.21/1.62 % (3328862)Instructions burned: 116 (million)
% 4.21/1.62 % (3328862)------------------------------
% 4.21/1.62 % (3328862)------------------------------
% 4.21/1.62 % (3328777)Success in time 0.505 s
% 4.21/1.62 % Vampire exiting
%------------------------------------------------------------------------------