%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:09:02 PM UTC 2026
% Result : Theorem 3.63s 1.27s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 11 unt; 1 def)
% Number of atoms : 21 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 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 : 66 ( 52 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f63,conjecture,
! [X0] :
( ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
=> ! [X5,X6,X7,X8,X9,X10] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) = i(triple(X6,insert_slb(X0,pair(X9,X10)),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_co) ).
fof(f64,negated_conjecture,
~ ! [X0] :
( ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
=> ! [X5,X6,X7,X8,X9,X10] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) = i(triple(X6,insert_slb(X0,pair(X9,X10)),X8)) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f65,plain,
? [X0] :
( ? [X5,X6,X7,X8,X9,X10] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) != i(triple(X6,insert_slb(X0,pair(X9,X10)),X8))
& ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f66,plain,
? [X0] :
( ? [X1,X2,X3,X4,X5,X6] : i(triple(X1,insert_slb(X0,pair(X5,X6)),X3)) != i(triple(X2,insert_slb(X0,pair(X5,X6)),X4))
& ! [X7,X8,X9,X10] : i(triple(X7,X0,X9)) = i(triple(X8,X0,X10)) ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
( i(triple(sK1,insert_slb(sK0,pair(sK5,sK6)),sK3)) != i(triple(sK2,insert_slb(sK0,pair(sK5,sK6)),sK4))
& ! [X7,X8,X9,X10] : i(triple(X7,sK0,X9)) = i(triple(X8,sK0,X10)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f66]) ).
fof(f68,plain,
! [X10,X8,X9,X7] : i(triple(X7,sK0,X9)) = i(triple(X8,sK0,X10)),
inference(cnf_transformation,[],[f67]) ).
fof(f69,plain,
i(triple(sK1,insert_slb(sK0,pair(sK5,sK6)),sK3)) != i(triple(sK2,insert_slb(sK0,pair(sK5,sK6)),sK4)),
inference(cnf_transformation,[],[f67]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f71,definition,
~ sP7(i(triple(sK1,insert_slb(sK0,pair(sK5,sK6)),sK3))),
introduced(definition,[new_symbols(definition,[sP7])],[inequality_splitting_name_introduction]) ).
fof(f72,plain,
sP7(i(triple(sK2,insert_slb(sK0,pair(sK5,sK6)),sK4))),
inference(inequality_splitting,[],[f69,f71]) ).
fof(f73,plain,
~ sP7(insert_pq(i(triple(sK1,sK0,sK3)),sK5)),
inference(forward_demodulation,[],[f71,f70]) ).
fof(f74,plain,
sP7(insert_pq(i(triple(sK2,sK0,sK4)),sK5)),
inference(forward_demodulation,[],[f72,f70]) ).
fof(f81,plain,
! [X0,X1] : ~ sP7(insert_pq(i(triple(X0,sK0,X1)),sK5)),
inference(superposition,[],[f73,f68]) ).
fof(f82,plain,
! [X0,X1] : sP7(insert_pq(i(triple(X0,sK0,X1)),sK5)),
inference(superposition,[],[f74,f68]) ).
fof(f83,plain,
$false,
inference(forward_subsumption_resolution,[],[f81,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n007.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 10:42:25 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.63/1.27 % (2311650)Detected formulas, will run a generic FOF schedule.
% 3.63/1.27 % (2311655)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=1884504269:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.63/1.27 % (2311660)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4227598935:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.63/1.27 % (2311659)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3474125323:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.63/1.27 % (2311661)dis-21_1_sil=8000:lcm=predicate:random_seed=2361900038: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)
% 3.63/1.27 % (2311656)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=2053910987:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.63/1.27 % (2311657)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=4105367277:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.63/1.27 % (2311658)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3158125156:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.63/1.27 % (2311658)First to succeed.
% 3.63/1.27 % (2311659)Also succeeded, but the first one will report.
% 3.63/1.27 % (2311658)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2311650"
% 3.63/1.27 % (2311661)Refutation not found, incomplete strategy
% 3.63/1.27 % (2311661)------------------------------
% 3.63/1.27 % (2311661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.27 % (2311661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.27 % (2311661)CaDiCaL version: 2.1.3
% 3.63/1.27 % (2311661)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.27 % (2311661)Time elapsed: 0.004 s
% 3.63/1.27 % (2311661)Peak memory usage: 88 MB
% 3.63/1.27 % (2311661)Instructions burned: 4 (million)
% 3.63/1.27 % (2311660)Also succeeded, but the first one will report.
% 3.63/1.27 % (2311661)------------------------------
% 3.63/1.27 % (2311661)------------------------------
% 3.63/1.27 % (2311658)Refutation found. Thanks to Tanya!
% 3.63/1.27 % SZS status Theorem for theBenchmark
% 3.63/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.27 % (2311658)------------------------------
% 3.63/1.27 % (2311658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.27 % (2311658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.27 % (2311658)CaDiCaL version: 2.1.3
% 3.63/1.27 % (2311658)Termination reason: Refutation
% 3.63/1.27 % (2311658)Time elapsed: 0.002 s
% 3.63/1.27 % (2311658)Peak memory usage: 88 MB
% 3.63/1.27 % (2311658)Instructions burned: 1 (million)
% 3.63/1.27 % (2311658)------------------------------
% 3.63/1.27 % (2311658)------------------------------
% 3.63/1.27 % (2311650)Success in time 0.432 s
% 3.63/1.27 % Vampire exiting
%------------------------------------------------------------------------------