%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV056+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:08:00 PM UTC 2026
% Result : Theorem 3.23s 1.02s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 40 ( 18 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 14 ~; 7 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : sum(n0,tptp_minus_1,X0) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f53,conjecture,
( ( leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0040) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
( ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) )
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) )
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ),
inference(flattening,[],[f87]) ).
fof(f114,plain,
leq(pv25,minus(n5,n1)),
inference(cnf_transformation,[],[f88]) ).
fof(f115,plain,
leq(n0,pv25),
inference(cnf_transformation,[],[f88]) ).
fof(f116,plain,
( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f120,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f26]) ).
fof(f132,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f139,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f168,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f172,plain,
! [X0] : minus(succ(X0),n1) = X0,
inference(definition_unfolding,[],[f168,f132]) ).
fof(f175,plain,
( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(pv25,minus(n5,n1)) ),
inference(forward_subsumption_resolution,[],[f116,f115]) ).
fof(f176,plain,
n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)),
inference(forward_subsumption_resolution,[],[f175,f114]) ).
fof(f186,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f172,f139]) ).
fof(f192,plain,
n0 != sum(n0,tptp_minus_1,a_select3(q,pv77,pv25)),
inference(superposition,[],[f176,f186]) ).
fof(f195,plain,
$false,
inference(forward_subsumption_resolution,[],[f192,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV056+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.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 : Mon Sep 28 09:45:04 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.23 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
% 3.23/1.02 % (3889840)Detected formulas, will run a generic FOF schedule.
% 3.23/1.02 % (3889851)dis-21_1_sil=8000:lcm=predicate:random_seed=2107062719:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.23/1.02 % (3889851)Instruction limit reached!
% 3.23/1.02 % (3889851)------------------------------
% 3.23/1.02 % (3889851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.02 % (3889851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.02 % (3889851)CaDiCaL version: 2.1.3
% 3.23/1.02 % (3889851)Termination reason: Instruction limit
% 3.23/1.02 % (3889851)Termination phase: Saturation
% 3.23/1.02 % (3889851)Time elapsed: 0.035 s
% 3.23/1.02 % (3889851)Peak memory usage: 89 MB
% 3.23/1.02 % (3889851)Instructions burned: 129 (million)
% 3.23/1.02 % (3889848)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=59868607:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.23/1.02 % (3889845)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=597341214:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.23/1.02 % (3889847)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2526799344:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.23/1.02 % (3889846)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1490460626:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.23/1.02 % (3889850)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2717599299:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.23/1.02 % (3889849)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3892807453:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.23/1.02 % (3889849)First to succeed.
% 3.23/1.02 % (3889849)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3889840"
% 3.23/1.02 % (3889850)Also succeeded, but the first one will report.
% 3.23/1.02 % (3889848)Instruction limit reached!
% 3.23/1.02 % (3889848)------------------------------
% 3.23/1.02 % (3889848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.02 % (3889848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.02 % (3889848)CaDiCaL version: 2.1.3
% 3.23/1.02 % (3889848)Termination reason: Instruction limit
% 3.23/1.02 % (3889848)Termination phase: Saturation
% 3.23/1.02 % (3889848)Time elapsed: 0.046 s
% 3.23/1.02 % (3889848)Peak memory usage: 88 MB
% 3.23/1.02 % (3889848)Instructions burned: 110 (million)
% 3.23/1.02 % (3889853)lrs+10_1_sil=8000:sp=occurrence:random_seed=1140301201:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.23/1.02 % (3889853)Also succeeded, but the first one will report.
% 3.23/1.02 % (3889860)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2423530810:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.23/1.02 % (3889860)Refutation not found, incomplete strategy
% 3.23/1.02 % (3889860)------------------------------
% 3.23/1.02 % (3889860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.02 % (3889860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.02 % (3889860)CaDiCaL version: 2.1.3
% 3.23/1.02 % (3889860)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.02 % (3889860)Time elapsed: 0.003 s
% 3.23/1.02 % (3889860)Peak memory usage: 88 MB
% 3.23/1.02 % (3889860)Instructions burned: 3 (million)
% 3.23/1.02 % (3889849)Refutation found. Thanks to Tanya!
% 3.23/1.02 % SZS status Theorem for theBenchmark
% 3.23/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.23/1.02 % (3889849)------------------------------
% 3.23/1.02 % (3889849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.02 % (3889849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.02 % (3889849)CaDiCaL version: 2.1.3
% 3.23/1.02 % (3889849)Termination reason: Refutation
% 3.23/1.02 % (3889849)Time elapsed: 0.003 s
% 3.23/1.02 % (3889849)Peak memory usage: 88 MB
% 3.23/1.02 % (3889849)Instructions burned: 4 (million)
% 3.23/1.02 % (3889849)------------------------------
% 3.23/1.02 % (3889849)------------------------------
% 3.23/1.02 % (3889840)Success in time 0.406 s
% 3.23/1.02 % Vampire exiting
%------------------------------------------------------------------------------