%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 : Fri Sep 25 03:39:11 PM UTC 2026
% Result : Unsatisfiable 0.78s 1.10s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 30
% Syntax : Number of formulae : 83 ( 15 unt; 0 def)
% Number of atoms : 262 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 360 ( 181 ~; 179 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-7 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 308 ( 0 sgn 308 !; 0 ?; 154 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_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(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(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(f19,axiom,
! [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)
| p_8(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_18) ).
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(f25,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ q_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_24) ).
fof(f27,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| q_0(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(f33,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_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_8) ).
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(f37,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_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_12) ).
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(f49,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ q_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_24) ).
fof(f55,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0)
| p_13(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_2) ).
fof(f56,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0)
| q_12(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_3) ).
fof(f57,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0)
| q_13(X0,X1,X2,X3,X4,X5,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) ).
tcf(c_120,negated_conjecture,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_0(X0,X1,X2,X3,X4,X5,X6)
| ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_5(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) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_7(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) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_8(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) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_0(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_1(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) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_2(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) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_3(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) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_4(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) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_6(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) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_9(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) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_12(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_175,plain,
nq_1(a),
inference(cnf_transformation,[],[f58]) ).
tcf(c_177,plain,
nq_2(a),
inference(cnf_transformation,[],[f60]) ).
tcf(c_179,plain,
nq_3(a),
inference(cnf_transformation,[],[f62]) ).
tcf(c_181,plain,
nq_4(a),
inference(cnf_transformation,[],[f64]) ).
tcf(c_183,plain,
nq_5(a),
inference(cnf_transformation,[],[f66]) ).
tcf(c_185,plain,
nq_6(a),
inference(cnf_transformation,[],[f68]) ).
tcf(c_187,plain,
nq_7(a),
inference(cnf_transformation,[],[f70]) ).
tcf(c_191,plain,
( q_11(a,a,a,a,a,a,a)
| ~ p_13(a,a,a,a,a,a,a)
| ~ q_12(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_194,plain,
( q_10(a,a,a,a,a,a,a)
| ~ q_12(a,a,a,a,a,a,a)
| ~ p_11(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_195,plain,
( q_9(a,a,a,a,a,a,a)
| ~ p_11(a,a,a,a,a,a,a)
| ~ q_10(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_200,plain,
( q_7(a,a,a,a,a,a,a)
| ~ q_9(a,a,a,a,a,a,a)
| ~ p_8(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_201,plain,
( q_6(a,a,a,a,a,a,a)
| ~ p_8(a,a,a,a,a,a,a)
| ~ q_7(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_203,plain,
( q_5(a,a,a,a,a,a,a)
| ~ p_7(a,a,a,a,a,a,a)
| ~ q_6(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_206,plain,
( q_4(a,a,a,a,a,a,a)
| ~ q_6(a,a,a,a,a,a,a)
| ~ p_5(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_207,plain,
( q_3(a,a,a,a,a,a,a)
| ~ p_5(a,a,a,a,a,a,a)
| ~ q_4(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_210,plain,
( q_2(a,a,a,a,a,a,a)
| ~ q_4(a,a,a,a,a,a,a)
| ~ p_3(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_212,plain,
( q_1(a,a,a,a,a,a,a)
| ~ q_3(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_213,plain,
( q_0(a,a,a,a,a,a,a)
| ~ q_1(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_215,plain,
( p_11(a,a,a,a,a,a,a)
| ~ q_13(a,a,a,a,a,a,a)
| ~ q_12(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_219,plain,
( p_9(a,a,a,a,a,a,a)
| ~ q_11(a,a,a,a,a,a,a)
| ~ q_10(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_221,plain,
( p_8(a,a,a,a,a,a,a)
| ~ q_10(a,a,a,a,a,a,a)
| ~ q_9(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_224,plain,
( p_7(a,a,a,a,a,a,a)
| ~ p_9(a,a,a,a,a,a,a)
| ~ p_8(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_227,plain,
( p_5(a,a,a,a,a,a,a)
| ~ q_7(a,a,a,a,a,a,a)
| ~ q_6(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_231,plain,
( p_3(a,a,a,a,a,a,a)
| ~ q_5(a,a,a,a,a,a,a)
| ~ q_4(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_233,plain,
( p_2(a,a,a,a,a,a,a)
| ~ q_4(a,a,a,a,a,a,a)
| ~ q_3(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_237,plain,
( p_0(a,a,a,a,a,a,a)
| ~ q_2(a,a,a,a,a,a,a)
| ~ q_1(a,a,a,a,a,a,a) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_239,plain,
( q_13(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(instantiation,[status(thm)],[c_174]) ).
tcf(c_240,plain,
( q_12(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_241,plain,
( p_13(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_242,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_241,c_240,c_239,c_237,c_233,c_231,c_227,c_224,c_221,c_219,c_215,c_213,c_212,c_210,c_207,c_206,c_203,c_201,c_200,c_195,c_194,c_191,c_120,c_175,c_177,c_179,c_181,c_183,c_185,c_187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:10:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running EPR theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 0.78/1.10 % SZS status Started for theBenchmark.p
% 0.78/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.78/1.10
% 0.78/1.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.78/1.10
% 0.78/1.10 % ------ iProver source info
% 0.78/1.10
% 0.78/1.10 % git: date: 2026-07-19 20:42:38 +0200
% 0.78/1.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.78/1.10 % git: non_committed_changes: false
% 0.78/1.10
% 0.78/1.10 % ------ Parsing...% successful
% 0.78/1.10
% 0.78/1.10
% 0.78/1.10 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.78/1.10 %
% 0.78/1.10
% 0.78/1.10 % ------ Preprocessing...%
% 0.78/1.10
% 0.78/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.78/1.10
% 0.78/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.78/1.10
% 0.78/1.10
%------------------------------------------------------------------------------