%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 3.25s 1.24s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 1 def)
% Number of atoms : 18 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f4,axiom,
! [X0,X1] :
( negate(X0) != negate(X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative_equality_implies_positive_equality) ).
fof(f5,plain,
! [X0,X1] :
( negate(X1) != negate(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
fof(f7,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
~ sP0(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f9,plain,
sP0(b),
inference(inequality_splitting,[],[f7,f8]) ).
fof(f10,plain,
~ sP0(add(negate(add(negate(b),a)),negate(add(negate(a),negate(b))))),
inference(superposition,[],[f8,f1]) ).
fof(f15,plain,
~ sP0(add(negate(add(negate(b),a)),negate(add(negate(b),negate(a))))),
inference(superposition,[],[f10,f1]) ).
fof(f35,plain,
! [X2,X0,X1] :
( add(negate(add(X0,X2)),negate(add(X0,negate(X2)))) = X1
| negate(X1) != X0 ),
inference(superposition,[],[f5,f3]) ).
fof(f349,plain,
! [X0] :
( negate(X0) != negate(b)
| ~ sP0(X0) ),
inference(superposition,[],[f15,f35]) ).
fof(f371,plain,
~ sP0(b),
inference(equality_resolution,[],[f349]) ).
fof(f372,plain,
$false,
inference(forward_subsumption_resolution,[],[f371,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n010.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 23:27:43 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.25/1.24 % (1420262)Input is clausal, will run a generic CNF schedule.
% 3.25/1.24 % (1420267)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=1007174913:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.25/1.24 % (1420270)lrs+10_1_sil=8000:sp=occurrence:random_seed=3695447106:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.25/1.24 % (1420272)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3167512621:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.25/1.24 % (1420271)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2977725832:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.25/1.24 % (1420268)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4191262710:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.25/1.24 % (1420273)dis-21_1_sil=8000:lcm=predicate:random_seed=224781532: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)
% 3.25/1.24 % (1420269)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1067157238:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.25/1.24 % (1420273)Refutation not found, incomplete strategy
% 3.25/1.24 % (1420273)------------------------------
% 3.25/1.24 % (1420273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.24 % (1420273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.24 % (1420273)CaDiCaL version: 2.1.3
% 3.25/1.24 % (1420273)Termination reason: Refutation not found, incomplete strategy
% 3.25/1.24 % (1420273)Time elapsed: 0.001 s
% 3.25/1.24 % (1420273)Peak memory usage: 88 MB
% 3.25/1.24 % (1420271)First to succeed.
% 3.25/1.24 % (1420271)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1420262"
% 3.25/1.24 % (1420270)Instruction limit reached!
% 3.25/1.24 % (1420270)------------------------------
% 3.25/1.24 % (1420270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.24 % (1420270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.24 % (1420270)CaDiCaL version: 2.1.3
% 3.25/1.24 % (1420270)Termination reason: Instruction limit
% 3.25/1.24 % (1420270)Termination phase: Saturation
% 3.25/1.24 % (1420270)Time elapsed: 0.058 s
% 3.25/1.24 % (1420270)Peak memory usage: 88 MB
% 3.25/1.24 % (1420270)Instructions burned: 109 (million)
% 3.25/1.24 % (1420272)Instruction limit reached!
% 3.25/1.24 % (1420272)------------------------------
% 3.25/1.24 % (1420272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.24 % (1420272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.24 % (1420272)CaDiCaL version: 2.1.3
% 3.25/1.24 % (1420272)Termination reason: Instruction limit
% 3.25/1.24 % (1420272)Termination phase: Saturation
% 3.25/1.24 % (1420272)Time elapsed: 0.088 s
% 3.25/1.24 % (1420272)Peak memory usage: 89 MB
% 3.25/1.24 % (1420272)Instructions burned: 180 (million)
% 3.25/1.24 % (1420281)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=1257053982:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.25/1.24 % (1420281)Also succeeded, but the first one will report.
% 3.25/1.24 % (1420282)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3703673362: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)
% 3.25/1.24 % (1420282)Also succeeded, but the first one will report.
% 3.25/1.24 % (1420273)------------------------------
% 3.25/1.24 % (1420273)------------------------------
% 3.25/1.24 % (1420271)Refutation found. Thanks to Tanya!
% 3.25/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.25/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.25/1.24 % (1420271)------------------------------
% 3.25/1.24 % (1420271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.24 % (1420271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.24 % (1420271)CaDiCaL version: 2.1.3
% 3.25/1.24 % (1420271)Termination reason: Refutation
% 3.25/1.24 % (1420271)Time elapsed: 0.011 s
% 3.25/1.24 % (1420271)Peak memory usage: 88 MB
% 3.25/1.24 % (1420271)Instructions burned: 16 (million)
% 3.25/1.24 % (1420271)------------------------------
% 3.25/1.24 % (1420271)------------------------------
% 3.25/1.24 % (1420262)Success in time 0.399 s
% 3.25/1.24 % Vampire exiting
%------------------------------------------------------------------------------