%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n020.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 01:21:05 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 7 con; 0-3 aty)
% Number of variables : 49 ( 42 !; 7 ?)
% 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/Axioms/SWV007+4.ax',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(f111,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(f176,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(f177,plain,
! [X2,X3,X1,X4] : i(triple(X1,sK1,X3)) = i(triple(X2,sK1,X4)),
inference(cnf_transformation,[],[f111]) ).
fof(f178,plain,
i(triple(sK2,insert_slb(sK1,pair(sK6,sK7)),sK4)) != i(triple(sK3,insert_slb(sK1,pair(sK6,sK7)),sK5)),
inference(cnf_transformation,[],[f111]) ).
fof(f539,plain,
i(triple(sK2,insert_slb(sK1,pair(sK6,sK7)),sK4)) != insert_pq(i(triple(sK3,sK1,sK5)),sK6),
inference(superposition,[],[f178,f176]) ).
fof(f540,plain,
insert_pq(i(triple(sK3,sK1,sK5)),sK6) != insert_pq(i(triple(sK2,sK1,sK4)),sK6),
inference(forward_demodulation,[],[f539,f176]) ).
fof(f542,plain,
! [X0,X1] : insert_pq(i(triple(sK2,sK1,sK4)),sK6) != insert_pq(i(triple(X0,sK1,X1)),sK6),
inference(superposition,[],[f540,f177]) ).
fof(f549,plain,
$false,
inference(equality_resolution,[],[f542]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 10:45:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.28 % (88412)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (88421)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4032719054:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (88418)% WARNING: option uhcvi not known.
% 0.19/0.28 % (88417)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2824368040_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (88418)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1110409067:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (88419)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3411623454:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (88422)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2752342880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (88420)dis+10_1_sil=32000:sp=arity:random_seed=1228513590:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (88423)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3690392075:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (88421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-88412-88421"...
% 0.19/0.28 % (88421)...printing done.
% 0.19/0.28 % (88421)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (88421)------------------------------
% 0.19/0.28 % (88421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (88421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (88421)CaDiCaL version: 2.1.3
% 0.19/0.28 % (88421)Termination reason: Refutation
% 0.19/0.28 % (88421)Time elapsed: 0.009 s
% 0.19/0.28 % (88421)Peak memory usage: 12 MB
% 0.19/0.28 % (88421)Instructions burned: 28 (million)
% 0.19/0.28 % (88412)Success in time 0.041 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------