%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:49:40 PM UTC 2026
% Result : Unsatisfiable 3.21s 1.08s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 36
% Syntax : Number of formulae : 106 ( 13 unt; 2 def)
% Number of atoms : 573 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 933 ( 466 ~; 465 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 11 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 3 prp; 0-7 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 490 ( 0 sgn 490 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ p_0(a,a,a,a,a,a,a)
| ~ q_0(a,a,a,a,a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_goal_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| p_0(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_2) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| p_2(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_6) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| p_3(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_8) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| p_4(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_10) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| p_5(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_12) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| p_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_13) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| p_7(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_15) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_17) ).
fof(f21,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_20) ).
fof(f22,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| p_10(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_21) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| p_11(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_23) ).
fof(f27,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| q_0(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_2) ).
fof(f28,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| q_1(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_3) ).
fof(f30,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6)
| q_2(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_5) ).
fof(f32,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_4(X0,X1,X2,X3,X4,X5,X6)
| q_3(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_7) ).
fof(f34,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| q_4(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_9) ).
fof(f36,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| q_5(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_11) ).
fof(f39,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_14) ).
fof(f40,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| q_7(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_15) ).
fof(f45,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_20) ).
fof(f46,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_12(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_21) ).
fof(f48,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| q_11(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_23) ).
fof(f54,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_12(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_1) ).
fof(f55,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_2) ).
fof(f56,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_12(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_3) ).
fof(f57,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_4) ).
fof(f58,axiom,
nq_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).
fof(f60,axiom,
nq_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).
fof(f62,axiom,
nq_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_5) ).
fof(f64,axiom,
nq_4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_7) ).
fof(f66,axiom,
nq_5(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_9) ).
fof(f68,axiom,
nq_6(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_11) ).
fof(f70,axiom,
nq_7(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_13) ).
fof(f73,definition,
( spl0_1
<=> q_0(a,a,a,a,a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f74,plain,
( ~ q_0(a,a,a,a,a,a,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_2
<=> p_0(a,a,a,a,a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f77,plain,
( ~ p_0(a,a,a,a,a,a,a)
| spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1,f76,f73]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(resolution,[],[f22,f54]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(resolution,[],[f24,f55]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(forward_subsumption_resolution,[],[f81,f54]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(resolution,[],[f45,f83]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(resolution,[],[f46,f56]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(forward_subsumption_resolution,[],[f88,f83]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(resolution,[],[f48,f57]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(forward_subsumption_resolution,[],[f93,f54]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[],[f95,f21]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[],[f97,f89]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_2(X0)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ p_8(X6,X0,X1,X2,X3,X4,X5)
| p_7(X6,X0,X1,X2,X3,X4,X5) ),
inference(resolution,[],[f98,f16]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(forward_subsumption_resolution,[],[f79,f83]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6)
| ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[],[f107,f18]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[],[f109,f98]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_2(X0)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ q_7(X6,X0,X1,X2,X3,X4,X5)
| q_6(X6,X0,X1,X2,X3,X4,X5) ),
inference(resolution,[],[f110,f39]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_2(X0)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ p_7(X6,X0,X1,X2,X3,X4,X5)
| p_6(X6,X0,X1,X2,X3,X4,X5) ),
inference(resolution,[],[f110,f14]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
inference(forward_subsumption_resolution,[],[f87,f89]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| q_7(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[],[f113,f40]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[],[f114,f110]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_2(X0)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ p_6(X6,X0,X1,X2,X3,X4,X5)
| q_5(X6,X0,X1,X2,X3,X4,X5) ),
inference(resolution,[],[f116,f36]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_2(X0)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ q_6(X6,X0,X1,X2,X3,X4,X5)
| p_5(X6,X0,X1,X2,X3,X4,X5) ),
inference(resolution,[],[f116,f13]) ).
fof(f122,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_7(X6,X0,X1,X2,X3,X4,X5)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ nq_2(X0) ),
inference(forward_subsumption_resolution,[],[f102,f110]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_6(X6,X0,X1,X2,X3,X4,X5)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ nq_2(X0) ),
inference(forward_subsumption_resolution,[],[f111,f116]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_3(X0)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ p_5(X5,X6,X0,X1,X2,X3,X4)
| q_4(X5,X6,X0,X1,X2,X3,X4) ),
inference(resolution,[],[f125,f34]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_3(X0)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ q_5(X5,X6,X0,X1,X2,X3,X4)
| p_4(X5,X6,X0,X1,X2,X3,X4) ),
inference(resolution,[],[f125,f11]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_6(X6,X0,X1,X2,X3,X4,X5)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ nq_2(X0) ),
inference(forward_subsumption_resolution,[],[f112,f122]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_5(X6,X0,X1,X2,X3,X4,X5)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ nq_2(X0) ),
inference(forward_subsumption_resolution,[],[f120,f128]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_3(X0)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ p_4(X5,X6,X0,X1,X2,X3,X4)
| q_3(X5,X6,X0,X1,X2,X3,X4) ),
inference(resolution,[],[f131,f32]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_3(X0)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ q_4(X5,X6,X0,X1,X2,X3,X4)
| p_3(X5,X6,X0,X1,X2,X3,X4) ),
inference(resolution,[],[f131,f9]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_5(X6,X0,X1,X2,X3,X4,X5)
| ~ nq_3(X1)
| ~ nq_4(X2)
| ~ nq_5(X3)
| ~ nq_6(X4)
| ~ nq_7(X5)
| ~ nq_1(X6)
| ~ nq_2(X0) ),
inference(forward_subsumption_resolution,[],[f121,f125]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_4(X5,X6,X0,X1,X2,X3,X4)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ nq_3(X0) ),
inference(forward_subsumption_resolution,[],[f126,f134]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_4(X0)
| ~ nq_5(X1)
| ~ nq_6(X2)
| ~ nq_7(X3)
| ~ nq_1(X4)
| ~ nq_2(X5)
| ~ nq_3(X6)
| ~ p_3(X4,X5,X6,X0,X1,X2,X3)
| q_2(X4,X5,X6,X0,X1,X2,X3) ),
inference(resolution,[],[f137,f30]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_4(X0)
| ~ nq_5(X1)
| ~ nq_6(X2)
| ~ nq_7(X3)
| ~ nq_1(X4)
| ~ nq_2(X5)
| ~ nq_3(X6)
| ~ q_3(X4,X5,X6,X0,X1,X2,X3)
| p_2(X4,X5,X6,X0,X1,X2,X3) ),
inference(resolution,[],[f137,f7]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_4(X5,X6,X0,X1,X2,X3,X4)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ nq_3(X0) ),
inference(forward_subsumption_resolution,[],[f127,f131]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_3(X5,X6,X0,X1,X2,X3,X4)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ nq_3(X0) ),
inference(forward_subsumption_resolution,[],[f132,f140]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_4(X0)
| ~ nq_5(X1)
| ~ nq_6(X2)
| ~ nq_7(X3)
| ~ nq_1(X4)
| ~ nq_2(X5)
| ~ nq_3(X6)
| ~ p_2(X4,X5,X6,X0,X1,X2,X3)
| q_1(X4,X5,X6,X0,X1,X2,X3) ),
inference(resolution,[],[f143,f28]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_3(X5,X6,X0,X1,X2,X3,X4)
| ~ nq_4(X1)
| ~ nq_5(X2)
| ~ nq_6(X3)
| ~ nq_7(X4)
| ~ nq_1(X5)
| ~ nq_2(X6)
| ~ nq_3(X0) ),
inference(forward_subsumption_resolution,[],[f133,f137]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_2(X4,X5,X6,X0,X1,X2,X3)
| ~ nq_5(X1)
| ~ nq_6(X2)
| ~ nq_7(X3)
| ~ nq_1(X4)
| ~ nq_2(X5)
| ~ nq_3(X6)
| ~ nq_4(X0) ),
inference(forward_subsumption_resolution,[],[f138,f146]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_5(X0)
| ~ nq_6(X1)
| ~ nq_7(X2)
| ~ nq_1(X3)
| ~ nq_2(X4)
| ~ nq_3(X5)
| ~ nq_4(X6)
| ~ q_1(X3,X4,X5,X6,X0,X1,X2)
| p_0(X3,X4,X5,X6,X0,X1,X2) ),
inference(resolution,[],[f149,f3]) ).
fof(f152,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_2(X4,X5,X6,X0,X1,X2,X3)
| ~ nq_5(X1)
| ~ nq_6(X2)
| ~ nq_7(X3)
| ~ nq_1(X4)
| ~ nq_2(X5)
| ~ nq_3(X6)
| ~ nq_4(X0) ),
inference(forward_subsumption_resolution,[],[f139,f143]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_1(X4,X5,X6,X0,X1,X2,X3)
| ~ nq_5(X1)
| ~ nq_6(X2)
| ~ nq_7(X3)
| ~ nq_1(X4)
| ~ nq_2(X5)
| ~ nq_3(X6)
| ~ nq_4(X0) ),
inference(forward_subsumption_resolution,[],[f144,f152]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_5(X0)
| ~ nq_6(X1)
| ~ nq_7(X2)
| ~ nq_1(X3)
| ~ nq_2(X4)
| ~ nq_3(X5)
| ~ nq_4(X6)
| q_0(X3,X4,X5,X6,X0,X1,X2)
| ~ p_2(X3,X4,X5,X6,X0,X1,X2) ),
inference(resolution,[],[f154,f27]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_0(X3,X4,X5,X6,X0,X1,X2)
| ~ nq_6(X1)
| ~ nq_7(X2)
| ~ nq_1(X3)
| ~ nq_2(X4)
| ~ nq_3(X5)
| ~ nq_4(X6)
| ~ nq_5(X0) ),
inference(forward_subsumption_resolution,[],[f155,f152]) ).
fof(f158,plain,
( ~ nq_6(a)
| ~ nq_7(a)
| ~ nq_1(a)
| ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_1 ),
inference(resolution,[],[f156,f74]) ).
fof(f159,plain,
( ~ nq_7(a)
| ~ nq_1(a)
| ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f158,f68]) ).
fof(f160,plain,
( ~ nq_1(a)
| ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f159,f70]) ).
fof(f161,plain,
( ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f160,f58]) ).
fof(f162,plain,
( ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f161,f60]) ).
fof(f163,plain,
( ~ nq_4(a)
| ~ nq_5(a)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f162,f62]) ).
fof(f164,plain,
( ~ nq_5(a)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f163,f64]) ).
fof(f165,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f164,f66]) ).
fof(f166,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_0(X3,X4,X5,X6,X0,X1,X2)
| ~ nq_6(X1)
| ~ nq_7(X2)
| ~ nq_1(X3)
| ~ nq_2(X4)
| ~ nq_3(X5)
| ~ nq_4(X6)
| ~ nq_5(X0) ),
inference(forward_subsumption_resolution,[],[f151,f154]) ).
fof(f168,plain,
( ~ nq_6(a)
| ~ nq_7(a)
| ~ nq_1(a)
| ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_2 ),
inference(resolution,[],[f167,f77]) ).
fof(f169,plain,
( ~ nq_7(a)
| ~ nq_1(a)
| ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f168,f68]) ).
fof(f170,plain,
( ~ nq_1(a)
| ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f169,f70]) ).
fof(f171,plain,
( ~ nq_2(a)
| ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f170,f58]) ).
fof(f172,plain,
( ~ nq_3(a)
| ~ nq_4(a)
| ~ nq_5(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f171,f60]) ).
fof(f173,plain,
( ~ nq_4(a)
| ~ nq_5(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f172,f62]) ).
fof(f174,plain,
( ~ nq_5(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f173,f64]) ).
fof(f175,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f174,f66]) ).
fof(f176,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f175]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f78]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f166]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f176]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f177,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.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 15:33:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.21/1.08 % (871752)Input is clausal, will run a generic CNF schedule.
% 3.21/1.08 % (871760)lrs+10_1_sil=8000:sp=occurrence:random_seed=2588785139:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.21/1.08 % (871760)Refutation not found, incomplete strategy
% 3.21/1.08 % (871760)------------------------------
% 3.21/1.08 % (871760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.08 % (871760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.08 % (871760)CaDiCaL version: 2.1.3
% 3.21/1.08 % (871760)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.08 % (871760)Time elapsed: 0.0000 s
% 3.21/1.08 % (871760)Peak memory usage: 86 MB
% 3.21/1.08 % (871758)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=54298532:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.21/1.08 % (871759)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2527201709:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.21/1.08 % (871757)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=697973523:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.21/1.08 % (871763)dis-21_1_sil=8000:lcm=predicate:random_seed=270702675: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)
% 3.21/1.08 % (871762)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2365929425:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.21/1.08 % (871761)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4255902554:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.21/1.08 % (871761)First to succeed.
% 3.21/1.08 % (871761)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-871752"
% 3.21/1.08 % (871762)Also succeeded, but the first one will report.
% 3.21/1.08 % (871763)Also succeeded, but the first one will report.
% 3.21/1.08 % (871760)------------------------------
% 3.21/1.08 % (871760)------------------------------
% 3.21/1.08 % (871771)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=450429460:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.21/1.08 % (871771)Refutation not found, incomplete strategy
% 3.21/1.08 % (871771)------------------------------
% 3.21/1.08 % (871771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.08 % (871771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.08 % (871771)CaDiCaL version: 2.1.3
% 3.21/1.08 % (871771)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.08 % (871771)Time elapsed: 0.0000 s
% 3.21/1.08 % (871771)Peak memory usage: 86 MB
% 3.21/1.08 % (871761)Refutation found. Thanks to Tanya!
% 3.21/1.08 % SZS status Unsatisfiable for theBenchmark
% 3.21/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.27 % (871761)------------------------------
% 3.63/1.27 % (871761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.27 % (871761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.27 % (871761)CaDiCaL version: 2.1.3
% 3.63/1.27 % (871761)Termination reason: Refutation
% 3.63/1.27 % (871761)Time elapsed: 0.009 s
% 3.63/1.27 % (871761)Peak memory usage: 89 MB
% 3.63/1.27 % (871761)Instructions burned: 15 (million)
% 3.63/1.27 % (871761)------------------------------
% 3.63/1.27 % (871761)------------------------------
% 3.63/1.27 % (871752)Success in time 0.43 s
% 3.63/1.27 % Vampire exiting
%------------------------------------------------------------------------------