%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 02:17:46 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X0)
| p3(X0,X1)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p21(X3,X2)
| ~ p3(X2,X1)
| ~ p4(X3,X0)
| p21(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_23) ).
fof(f24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_24) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3))
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_31) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_33) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_34) ).
fof(f35,negated_conjecture,
! [X0] :
( ~ p21(f5(c22,c23),X0)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X0),X2),X3)
| p21(f5(X0,f14(f16(f18(f20(c29,X1),X2),X0),X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_36) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
| p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[],[f31,f7]) ).
fof(f67,plain,
! [X0,X1] : p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X1),
inference(resolution,[],[f34,f6]) ).
fof(f71,plain,
p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27),
inference(resolution,[],[f36,f24]) ).
fof(f76,plain,
! [X0,X1] :
( ~ p3(c27,X0)
| ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),X1)
| p21(X1,X0) ),
inference(resolution,[],[f71,f23]) ).
fof(f77,plain,
p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(resolution,[],[f38,f24]) ).
fof(f79,plain,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(resolution,[],[f77,f33]) ).
fof(f87,plain,
! [X0] :
( ~ p3(c23,X0)
| p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),X0) ),
inference(resolution,[],[f79,f17]) ).
fof(f90,plain,
! [X0] :
( ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),X0)
| p21(X0,c27) ),
inference(resolution,[],[f76,f6]) ).
fof(f92,plain,
p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
inference(resolution,[],[f87,f6]) ).
fof(f99,plain,
! [X0] : p4(f5(X0,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(X0,c23)),
inference(resolution,[],[f92,f62]) ).
fof(f124,plain,
p21(f5(c22,c23),c27),
inference(resolution,[],[f99,f90]) ).
fof(f132,plain,
~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),c27),c27),
inference(resolution,[],[f124,f35]) ).
fof(f135,plain,
$false,
inference(forward_subsumption_resolution,[],[f132,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:40:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (4002936)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (4002947)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2835298613:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (4002942)% WARNING: option uhcvi not known.
% 0.08/0.26 % (4002944)dis+10_1_sil=32000:sp=arity:random_seed=3967599735:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (4002941)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1342286391_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (4002946)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=38138016:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (4002943)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3366600770:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (4002942)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3478187899:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (4002945)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2633153268:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (4002946) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4002936-4002946"...
% 0.08/0.26 % TRYING [1]
% 0.08/0.26 % (4002946)...printing done.
% 0.08/0.26 % TRYING [2]
% 0.08/0.26 % (4002946)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27 % (4002946)------------------------------
% 0.08/0.27 % (4002946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27 % (4002946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27 % (4002946)CaDiCaL version: 2.1.3
% 0.08/0.27 % (4002946)Termination reason: Refutation
% 0.08/0.27 % (4002946)Time elapsed: 0.004 s
% 0.08/0.27 % (4002946)Peak memory usage: 11 MB
% 0.08/0.27 % (4002946)Instructions burned: 4 (million)
% 0.08/0.27 % (4002936)Success in time 0.044 s
% 0.08/0.27 % Vampire exiting
%------------------------------------------------------------------------------