%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN706-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 02:01:17 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.13s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 32 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p47(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_5) ).
fof(f11,negated_conjecture,
! [X0] : p36(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_11) ).
fof(f27,negated_conjecture,
p45(f20(c52,c50),c58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_27) ).
fof(f29,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p48_29) ).
fof(f57,negated_conjecture,
! [X2,X3,X0,X1] :
( p48(X0,X1)
| ~ p47(X2,X1)
| ~ p48(X3,X2)
| ~ p37(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_57) ).
fof(f59,negated_conjecture,
! [X0,X1] : p7(f8(f11(c54,f14(f17(c55,X0),f35(X1,X0))),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_59) ).
fof(f67,negated_conjecture,
! [X2,X3,X0,X1] :
( p37(f38(X0,X1),f38(X2,X3))
| ~ p36(X0,X2)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_67) ).
fof(f78,negated_conjecture,
! [X2,X0,X1] :
( p46(f23(c53,f35(X0,X1)),f5(c49,X2))
| ~ p45(f20(c52,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_78) ).
fof(f81,negated_conjecture,
! [X0,X1] :
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),X1)),c60)
| ~ p45(f20(c52,c50),X1)
| ~ p46(f23(c53,X0),f5(c49,c50)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_81) ).
fof(f90,plain,
! [X0,X1] :
( ~ p37(X1,f38(f40(c59,c50),c58))
| ~ p48(X1,X0)
| ~ p47(X0,c60) ),
inference(resolution,[],[f57,f29]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ p48(f38(X0,X1),X2)
| ~ p47(X2,c60)
| ~ p36(X0,f40(c59,c50))
| ~ p7(X1,c58) ),
inference(resolution,[],[f90,f67]) ).
fof(f132,plain,
! [X0,X1] :
( ~ p47(c60,c60)
| ~ p36(f40(c59,c50),f40(c59,c50))
| ~ p7(f8(f11(c54,f14(f17(c55,c61),X0)),X1),c58)
| ~ p45(f20(c52,c50),X1)
| ~ p46(f23(c53,X0),f5(c49,c50)) ),
inference(resolution,[],[f100,f81]) ).
fof(f134,plain,
! [X0,X1] :
( ~ p36(f40(c59,c50),f40(c59,c50))
| ~ p7(f8(f11(c54,f14(f17(c55,c61),X0)),X1),c58)
| ~ p45(f20(c52,c50),X1)
| ~ p46(f23(c53,X0),f5(c49,c50)) ),
inference(forward_subsumption_resolution,[],[f132,f5]) ).
fof(f135,plain,
! [X0,X1] :
( ~ p7(f8(f11(c54,f14(f17(c55,c61),X0)),X1),c58)
| ~ p45(f20(c52,c50),X1)
| ~ p46(f23(c53,X0),f5(c49,c50)) ),
inference(forward_subsumption_resolution,[],[f134,f11]) ).
fof(f207,plain,
( ~ p45(f20(c52,c50),c58)
| ~ p46(f23(c53,f35(c58,c61)),f5(c49,c50)) ),
inference(resolution,[],[f135,f59]) ).
fof(f209,plain,
~ p46(f23(c53,f35(c58,c61)),f5(c49,c50)),
inference(forward_subsumption_resolution,[],[f207,f27]) ).
fof(f210,plain,
~ p45(f20(c52,c50),c58),
inference(resolution,[],[f209,f78]) ).
fof(f212,plain,
$false,
inference(forward_subsumption_resolution,[],[f210,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN706-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.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 16:50:41 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.13 % (3535596)Input is clausal, will run a generic CNF schedule.
% 0.19/1.13 % (3535605)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2436011788:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.13 % (3535605)First to succeed.
% 0.19/1.13 % (3535605)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3535596"
% 0.19/1.13 % (3535602)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2338454582:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.13 % (3535603)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3749948119:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.13 % (3535601)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=18621310:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.13 % (3535607)dis-21_1_sil=8000:lcm=predicate:random_seed=226721789:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.19/1.13 % (3535606)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3407678108:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.13 % (3535604)lrs+10_1_sil=8000:sp=occurrence:random_seed=102284781:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.13 % (3535607)Also succeeded, but the first one will report.
% 0.19/1.13 % (3535606)Also succeeded, but the first one will report.
% 0.19/1.13 % (3535604)Also succeeded, but the first one will report.
% 0.19/1.13 % (3535605)Refutation found. Thanks to Tanya!
% 0.19/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.13 % (3535605)------------------------------
% 0.19/1.13 % (3535605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (3535605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (3535605)CaDiCaL version: 2.1.3
% 0.19/1.13 % (3535605)Termination reason: Refutation
% 0.19/1.13 % (3535605)Time elapsed: 0.004 s
% 0.19/1.13 % (3535605)Peak memory usage: 88 MB
% 0.19/1.13 % (3535605)Instructions burned: 8 (million)
% 0.19/1.13 % (3535605)------------------------------
% 0.19/1.13 % (3535605)------------------------------
% 0.19/1.13 % (3535596)Success in time 0.269 s
% 0.19/1.13 % Vampire exiting
%------------------------------------------------------------------------------