%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN597-1 : 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 : n015.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 02:17:41 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.32s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 48 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p3(c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).
fof(f21,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_21) ).
fof(f22,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_22) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p18(X2,X3)
| p18(X0,X1)
| ~ p2(X2,X0)
| ~ p10(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f13(X0,X1),f13(X2,X3))
| ~ p12(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( p12(f14(X0,X1),f14(X2,X3))
| ~ p3(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p10(f11(X0,X1,X2),f11(X3,X4,X5))
| ~ p2(X0,X3)
| ~ p9(X1,X4)
| ~ p10(X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).
fof(f33,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f18,f3]) ).
fof(f42,plain,
p3(c22,c21),
inference(resolution,[],[f33,f7]) ).
fof(f49,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f19,f4]) ).
fof(f61,plain,
! [X0,X1] :
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X1)
| ~ p2(c20,X0)
| p18(X0,X1) ),
inference(resolution,[],[f24,f21]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( p2(f13(X3,X1),f13(X2,X0))
| ~ p3(X2,X3)
| ~ p12(X0,X1) ),
inference(resolution,[],[f26,f49]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ p2(f13(f15(c20),f14(f4(c20),c21)),X1)
| p18(X0,f11(X1,X2,X3))
| ~ p2(c20,X0)
| ~ p9(c23,X2)
| ~ p10(c24,X3) ),
inference(resolution,[],[f61,f28]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( p18(X0,f11(f13(X1,X2),X3,X4))
| ~ p2(c20,X0)
| ~ p9(c23,X3)
| ~ p10(c24,X4)
| ~ p3(X1,f15(c20))
| ~ p12(X2,f14(f4(c20),c21)) ),
inference(resolution,[],[f127,f67]) ).
fof(f2037,plain,
( ~ p2(c20,c20)
| ~ p9(c23,c23)
| ~ p10(c24,c24)
| ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c22),f14(f4(c20),c21)) ),
inference(resolution,[],[f311,f22]) ).
fof(f2039,plain,
( ~ p9(c23,c23)
| ~ p10(c24,c24)
| ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c22),f14(f4(c20),c21)) ),
inference(forward_subsumption_resolution,[],[f2037,f4]) ).
fof(f2040,plain,
( ~ p10(c24,c24)
| ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c22),f14(f4(c20),c21)) ),
inference(forward_subsumption_resolution,[],[f2039,f2]) ).
fof(f2041,plain,
( ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c22),f14(f4(c20),c21)) ),
inference(forward_subsumption_resolution,[],[f2040,f1]) ).
fof(f2042,plain,
~ p12(f14(f4(c20),c22),f14(f4(c20),c21)),
inference(forward_subsumption_resolution,[],[f2041,f3]) ).
fof(f2044,plain,
( ~ p3(f4(c20),f4(c20))
| ~ p3(c22,c21) ),
inference(resolution,[],[f2042,f27]) ).
fof(f2045,plain,
~ p3(c22,c21),
inference(forward_subsumption_resolution,[],[f2044,f3]) ).
fof(f2047,plain,
$false,
inference(forward_subsumption_resolution,[],[f2045,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:37:32 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.32 % (2762758)Will run a generic schedule for satisfiability detection.
% 0.19/0.32 % (2762767)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2998174500:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32 % (2762766)% WARNING: option uhcvi not known.
% 0.19/0.32 % (2762765)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2776094162_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32 % (2762766)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4148366075:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32 % (2762768)dis+10_1_sil=32000:sp=arity:random_seed=1898540911:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32 % (2762769)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2268423113:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32 % (2762771)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1106589060:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32 % (2762770)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1387946545:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32 % TRYING [1]
% 0.19/0.32 % TRYING [2]
% 0.19/0.32 % TRYING [3]
% 0.19/0.32 % TRYING [4]
% 0.19/0.32 % TRYING [5]
% 0.19/0.32 % TRYING [6]
% 0.19/0.32 % (2762768) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2762758-2762768"...
% 0.19/0.32 % (2762768)...printing done.
% 0.19/0.32 % (2762768)Refutation found. Thanks to Tanya!
% 0.19/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.32 % (2762768)------------------------------
% 0.19/0.32 % (2762768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (2762768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (2762768)CaDiCaL version: 2.1.3
% 0.19/0.32 % (2762768)Termination reason: Refutation
% 0.19/0.32 % (2762768)Time elapsed: 0.041 s
% 0.19/0.32 % (2762768)Peak memory usage: 12 MB
% 0.19/0.32 % (2762768)Instructions burned: 78 (million)
% 0.19/0.32 % (2762758)Success in time 0.082 s
% 0.19/0.32 % Vampire exiting
%------------------------------------------------------------------------------