%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV415+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 : n011.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 01:09:09 PM UTC 2026
% Result : Theorem 3.65s 1.26s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
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,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main2_l12) ).
fof(f64,conjecture,
! [X0,X1,X2,X3] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co2) ).
fof(f65,negated_conjecture,
~ ! [X0,X1,X2,X3] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f116,plain,
? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3)),
inference(ennf_transformation,[],[f65]) ).
fof(f126,plain,
insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4)],[f116]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[],[f42]) ).
fof(f191,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(f192,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
inference(cnf_transformation,[],[f63]) ).
fof(f193,plain,
insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
inference(cnf_transformation,[],[f126]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X1,X2),X3)) = i(triple(X4,insert_slb(X1,pair(X3,bottom)),X5)),
inference(superposition,[],[f192,f178]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X4,X1,X5)),X3),
inference(forward_demodulation,[],[f300,f191]) ).
fof(f450,plain,
! [X0,X1] : insert_pq(i(triple(sK1,sK2,sK3)),sK4) != insert_pq(i(triple(X0,sK2,X1)),sK4),
inference(superposition,[],[f193,f434]) ).
fof(f470,plain,
$false,
inference(equality_resolution,[],[f450]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n011.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 10:52:01 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.65/1.26 % (3318227)Detected formulas, will run a generic FOF schedule.
% 3.65/1.26 % (3318236)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3559751303:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.65/1.26 % (3318236)Instruction limit reached!
% 3.65/1.26 % (3318236)------------------------------
% 3.65/1.26 % (3318236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.26 % (3318236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.26 % (3318236)CaDiCaL version: 2.1.3
% 3.65/1.26 % (3318236)Termination reason: Instruction limit
% 3.65/1.26 % (3318236)Termination phase: Saturation
% 3.65/1.26 % (3318236)Time elapsed: 0.032 s
% 3.65/1.26 % (3318236)Peak memory usage: 88 MB
% 3.65/1.26 % (3318236)Instructions burned: 123 (million)
% 3.65/1.26 % (3318232)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=2236065327:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.65/1.26 % (3318234)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=2661543167:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.65/1.26 % (3318235)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3169704137:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.65/1.26 % (3318233)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=3381914685:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.65/1.26 % (3318237)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1788969458:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.65/1.26 % (3318238)dis-21_1_sil=8000:lcm=predicate:random_seed=669647503: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)
% 3.65/1.26 % (3318238)Refutation not found, incomplete strategy
% 3.65/1.26 % (3318238)------------------------------
% 3.65/1.26 % (3318238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.26 % (3318238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.26 % (3318238)CaDiCaL version: 2.1.3
% 3.65/1.26 % (3318238)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.26 % (3318238)Time elapsed: 0.003 s
% 3.65/1.26 % (3318238)Peak memory usage: 88 MB
% 3.65/1.26 % (3318238)Instructions burned: 4 (million)
% 3.65/1.26 % (3318237)First to succeed.
% 3.65/1.26 % (3318237)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3318227"
% 3.65/1.26 % (3318235)Instruction limit reached!
% 3.65/1.26 % (3318235)------------------------------
% 3.65/1.26 % (3318235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.26 % (3318235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.26 % (3318235)CaDiCaL version: 2.1.3
% 3.65/1.26 % (3318235)Termination reason: Instruction limit
% 3.65/1.26 % (3318235)Termination phase: Saturation
% 3.65/1.26 % (3318235)Time elapsed: 0.063 s
% 3.65/1.26 % (3318235)Peak memory usage: 88 MB
% 3.65/1.26 % (3318235)Instructions burned: 110 (million)
% 3.65/1.26 % (3318244)lrs+10_1_sil=8000:sp=occurrence:random_seed=89467567:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.65/1.26 % (3318244)Also succeeded, but the first one will report.
% 3.65/1.26 % (3318247)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1734124589:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.65/1.26 % (3318247)Also succeeded, but the first one will report.
% 3.65/1.26 % (3318238)------------------------------
% 3.65/1.26 % (3318238)------------------------------
% 3.65/1.26 % (3318237)Refutation found. Thanks to Tanya!
% 3.65/1.26 % SZS status Theorem for theBenchmark
% 3.65/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.26 % (3318237)------------------------------
% 3.65/1.26 % (3318237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.26 % (3318237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.26 % (3318237)CaDiCaL version: 2.1.3
% 3.65/1.26 % (3318237)Termination reason: Refutation
% 3.65/1.26 % (3318237)Time elapsed: 0.016 s
% 3.65/1.26 % (3318237)Peak memory usage: 89 MB
% 3.65/1.26 % (3318237)Instructions burned: 22 (million)
% 3.65/1.26 % (3318237)------------------------------
% 3.65/1.26 % (3318237)------------------------------
% 3.65/1.26 % (3318227)Success in time 0.433 s
% 3.65/1.26 % Vampire exiting
%------------------------------------------------------------------------------