%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:21:11 PM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% 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/sandbox2/benchmark/Axioms/SWV007+3.ax',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/sandbox2/benchmark/Axioms/SWV007+4.ax',ax55) ).
fof(f63,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
file('/export/starexec/sandbox2/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/sandbox2/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(f357,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(f615,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,[],[f357,f191]) ).
fof(f624,plain,
! [X0,X1] : i(insert_cpq(triple(sK1,sK2,sK3),sK4)) != i(insert_cpq(triple(X0,sK2,X1),sK4)),
inference(superposition,[],[f193,f615]) ).
fof(f652,plain,
$false,
inference(equality_resolution,[],[f624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:51:22 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29 % (1092592)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (1092603)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=969838671:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (1092598)% WARNING: option uhcvi not known.
% 0.20/0.29 % (1092597)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=891749453_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (1092598)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3717867990:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (1092599)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3190506222:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (1092600)dis+10_1_sil=32000:sp=arity:random_seed=103309986:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (1092602)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2839585178:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (1092601)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2466427713:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % (1092600) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1092592-1092600"...
% 0.20/0.29 % (1092600)...printing done.
% 0.20/0.29 % (1092600)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1092600)------------------------------
% 0.20/0.29 % (1092600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1092600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1092600)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1092600)Termination reason: Refutation
% 0.20/0.29 % (1092600)Time elapsed: 0.019 s
% 0.20/0.29 % (1092600)Peak memory usage: 12 MB
% 0.20/0.29 % (1092600)Instructions burned: 29 (million)
% 0.20/0.29 % (1092592)Success in time 0.056 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------