%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 03:39:10 PM UTC 2026
% Result : Unsatisfiable 0.69s 1.12s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 32
% Syntax : Number of formulae : 93 ( 9 unt; 0 def)
% Number of atoms : 258 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 333 ( 168 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 32 ( 31 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ q_0(X0)
| ~ p_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_goal_1) ).
fof(f3,axiom,
! [X0] :
( ~ q_2(X0)
| ~ q_1(X0)
| p_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_2) ).
fof(f7,axiom,
! [X0] :
( ~ q_4(X0)
| ~ q_3(X0)
| p_2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_6) ).
fof(f9,axiom,
! [X0] :
( ~ q_5(X0)
| ~ q_4(X0)
| p_3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_8) ).
fof(f11,axiom,
! [X0] :
( ~ q_6(X0)
| ~ q_5(X0)
| p_4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_10) ).
fof(f13,axiom,
! [X0] :
( ~ q_7(X0)
| ~ q_6(X0)
| p_5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_12) ).
fof(f15,axiom,
! [X0] :
( ~ q_8(X0)
| ~ q_7(X0)
| p_6(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_14) ).
fof(f17,axiom,
! [X0] :
( ~ q_9(X0)
| ~ q_8(X0)
| p_7(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_16) ).
fof(f19,axiom,
! [X0] :
( ~ q_10(X0)
| ~ q_9(X0)
| p_8(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_18) ).
fof(f21,axiom,
! [X0] :
( ~ q_11(X0)
| ~ q_10(X0)
| p_9(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_20) ).
fof(f23,axiom,
! [X0] :
( ~ q_12(X0)
| ~ q_11(X0)
| p_10(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_22) ).
fof(f25,axiom,
! [X0] :
( ~ q_13(X0)
| ~ q_12(X0)
| p_11(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_24) ).
fof(f27,axiom,
! [X0] :
( ~ q_14(X0)
| ~ q_13(X0)
| p_12(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_26) ).
fof(f29,axiom,
! [X0] :
( ~ q_15(X0)
| ~ q_14(X0)
| p_13(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_28) ).
fof(f31,axiom,
! [X0] :
( ~ p_2(X0)
| ~ q_1(X0)
| q_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_2) ).
fof(f33,axiom,
! [X0] :
( ~ p_3(X0)
| ~ q_2(X0)
| q_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_4) ).
fof(f35,axiom,
! [X0] :
( ~ p_4(X0)
| ~ q_3(X0)
| q_2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_6) ).
fof(f37,axiom,
! [X0] :
( ~ p_5(X0)
| ~ q_4(X0)
| q_3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_8) ).
fof(f39,axiom,
! [X0] :
( ~ p_6(X0)
| ~ q_5(X0)
| q_4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_10) ).
fof(f41,axiom,
! [X0] :
( ~ p_7(X0)
| ~ q_6(X0)
| q_5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_12) ).
fof(f43,axiom,
! [X0] :
( ~ p_8(X0)
| ~ q_7(X0)
| q_6(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_14) ).
fof(f45,axiom,
! [X0] :
( ~ p_9(X0)
| ~ q_8(X0)
| q_7(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_16) ).
fof(f47,axiom,
! [X0] :
( ~ p_10(X0)
| ~ q_9(X0)
| q_8(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_18) ).
fof(f49,axiom,
! [X0] :
( ~ p_11(X0)
| ~ q_10(X0)
| q_9(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_20) ).
fof(f51,axiom,
! [X0] :
( ~ p_12(X0)
| ~ q_11(X0)
| q_10(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_22) ).
fof(f53,axiom,
! [X0] :
( ~ p_13(X0)
| ~ q_12(X0)
| q_11(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_24) ).
fof(f55,axiom,
! [X0] :
( ~ p_14(X0)
| ~ q_13(X0)
| q_12(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_26) ).
fof(f57,axiom,
! [X0] :
( ~ p_15(X0)
| ~ q_14(X0)
| q_13(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_28) ).
fof(f62,axiom,
p_14(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_1) ).
fof(f63,axiom,
p_15(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_2) ).
fof(f64,axiom,
q_14(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_3) ).
fof(f65,axiom,
q_15(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_4) ).
tcf(c_114,negated_conjecture,
! [X0: $i] :
( ~ q_0(X0)
| ~ p_0(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_116,plain,
! [X0: $i] :
( p_0(X0)
| ~ q_2(X0)
| ~ q_1(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_120,plain,
! [X0: $i] :
( p_2(X0)
| ~ q_4(X0)
| ~ q_3(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_122,plain,
! [X0: $i] :
( p_3(X0)
| ~ q_5(X0)
| ~ q_4(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_124,plain,
! [X0: $i] :
( p_4(X0)
| ~ q_6(X0)
| ~ q_5(X0) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_126,plain,
! [X0: $i] :
( p_5(X0)
| ~ q_7(X0)
| ~ q_6(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_128,plain,
! [X0: $i] :
( p_6(X0)
| ~ q_8(X0)
| ~ q_7(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_130,plain,
! [X0: $i] :
( p_7(X0)
| ~ q_9(X0)
| ~ q_8(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_132,plain,
! [X0: $i] :
( p_8(X0)
| ~ q_10(X0)
| ~ q_9(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_134,plain,
! [X0: $i] :
( p_9(X0)
| ~ q_11(X0)
| ~ q_10(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_136,plain,
! [X0: $i] :
( p_10(X0)
| ~ q_12(X0)
| ~ q_11(X0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_138,plain,
! [X0: $i] :
( p_11(X0)
| ~ q_13(X0)
| ~ q_12(X0) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_140,plain,
! [X0: $i] :
( p_12(X0)
| ~ q_14(X0)
| ~ q_13(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_142,plain,
! [X0: $i] :
( p_13(X0)
| ~ q_15(X0)
| ~ q_14(X0) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_144,plain,
! [X0: $i] :
( q_0(X0)
| ~ q_1(X0)
| ~ p_2(X0) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_146,plain,
! [X0: $i] :
( q_1(X0)
| ~ p_3(X0)
| ~ q_2(X0) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_148,plain,
! [X0: $i] :
( q_2(X0)
| ~ p_4(X0)
| ~ q_3(X0) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_150,plain,
! [X0: $i] :
( q_3(X0)
| ~ p_5(X0)
| ~ q_4(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_152,plain,
! [X0: $i] :
( q_4(X0)
| ~ p_6(X0)
| ~ q_5(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_154,plain,
! [X0: $i] :
( q_5(X0)
| ~ p_7(X0)
| ~ q_6(X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_156,plain,
! [X0: $i] :
( q_6(X0)
| ~ p_8(X0)
| ~ q_7(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_158,plain,
! [X0: $i] :
( q_7(X0)
| ~ p_9(X0)
| ~ q_8(X0) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_160,plain,
! [X0: $i] :
( q_8(X0)
| ~ p_10(X0)
| ~ q_9(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_162,plain,
! [X0: $i] :
( q_9(X0)
| ~ p_11(X0)
| ~ q_10(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_164,plain,
! [X0: $i] :
( q_10(X0)
| ~ p_12(X0)
| ~ q_11(X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_166,plain,
! [X0: $i] :
( q_11(X0)
| ~ p_13(X0)
| ~ q_12(X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_168,plain,
! [X0: $i] :
( q_12(X0)
| ~ p_14(X0)
| ~ q_13(X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_170,plain,
! [X0: $i] :
( q_13(X0)
| ~ p_15(X0)
| ~ q_14(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_173,plain,
p_14(a),
inference(cnf_transformation,[],[f62]) ).
tcf(c_174,plain,
p_15(a),
inference(cnf_transformation,[],[f63]) ).
tcf(c_175,plain,
q_14(a),
inference(cnf_transformation,[],[f64]) ).
tcf(c_176,plain,
q_15(a),
inference(cnf_transformation,[],[f65]) ).
tcf(c_177,plain,
( ~ q_0(a)
| ~ p_0(a) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_178,plain,
( q_13(a)
| ~ p_15(a)
| ~ q_14(a) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_180,plain,
( q_12(a)
| ~ p_14(a)
| ~ q_13(a) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_182,plain,
( q_11(a)
| ~ p_13(a)
| ~ q_12(a) ),
inference(instantiation,[status(thm)],[c_166]) ).
tcf(c_184,plain,
( q_10(a)
| ~ p_12(a)
| ~ q_11(a) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_186,plain,
( q_9(a)
| ~ p_11(a)
| ~ q_10(a) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_188,plain,
( q_8(a)
| ~ p_10(a)
| ~ q_9(a) ),
inference(instantiation,[status(thm)],[c_160]) ).
tcf(c_190,plain,
( q_7(a)
| ~ p_9(a)
| ~ q_8(a) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_192,plain,
( q_6(a)
| ~ p_8(a)
| ~ q_7(a) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_194,plain,
( q_5(a)
| ~ p_7(a)
| ~ q_6(a) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_196,plain,
( q_4(a)
| ~ p_6(a)
| ~ q_5(a) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_198,plain,
( q_3(a)
| ~ p_5(a)
| ~ q_4(a) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_200,plain,
( q_2(a)
| ~ p_4(a)
| ~ q_3(a) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_202,plain,
( q_1(a)
| ~ p_3(a)
| ~ q_2(a) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_204,plain,
( q_0(a)
| ~ q_1(a)
| ~ p_2(a) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_206,plain,
( p_13(a)
| ~ q_15(a)
| ~ q_14(a) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_208,plain,
( p_12(a)
| ~ q_14(a)
| ~ q_13(a) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_210,plain,
( p_11(a)
| ~ q_13(a)
| ~ q_12(a) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_212,plain,
( p_10(a)
| ~ q_12(a)
| ~ q_11(a) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_214,plain,
( p_9(a)
| ~ q_11(a)
| ~ q_10(a) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_216,plain,
( p_8(a)
| ~ q_10(a)
| ~ q_9(a) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_218,plain,
( p_7(a)
| ~ q_9(a)
| ~ q_8(a) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_220,plain,
( p_6(a)
| ~ q_8(a)
| ~ q_7(a) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_222,plain,
( p_5(a)
| ~ q_7(a)
| ~ q_6(a) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_224,plain,
( p_4(a)
| ~ q_6(a)
| ~ q_5(a) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_226,plain,
( p_3(a)
| ~ q_5(a)
| ~ q_4(a) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_228,plain,
( p_2(a)
| ~ q_4(a)
| ~ q_3(a) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_232,plain,
( p_0(a)
| ~ q_2(a)
| ~ q_1(a) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_233,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_232,c_228,c_226,c_224,c_222,c_220,c_218,c_216,c_214,c_212,c_210,c_208,c_206,c_204,c_202,c_200,c_198,c_196,c_194,c_192,c_190,c_188,c_186,c_184,c_182,c_180,c_178,c_177,c_173,c_174,c_175,c_176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:10:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running EPR theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 0.69/1.12 % SZS status Started for theBenchmark.p
% 0.69/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.12
% 0.69/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.69/1.12
% 0.69/1.12 % ------ iProver source info
% 0.69/1.12
% 0.69/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.69/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.69/1.12 % git: non_committed_changes: false
% 0.69/1.12
% 0.69/1.12 % ------ Parsing...% successful
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.69/1.12 % ------ Proving...
% 0.69/1.12 % ------ Problem Properties
% 0.69/1.12
% 0.69/1.12 %
% 0.69/1.12 % clauses 63
% 0.69/1.12 % conjectures 1
% 0.69/1.12 % EPR 63
% 0.69/1.12 % Horn 63
% 0.69/1.12 % unary 4
% 0.69/1.12 % binary 3
% 0.69/1.12 % lits 178
% 0.69/1.12 % lits eq 0
% 0.69/1.12 % fd_pure 0
% 0.69/1.12 % fd_pseudo 0
% 0.69/1.12 % fd_cond 0
% 0.69/1.12 % fd_pseudo_cond 0
% 0.69/1.12 % AC symbols 0
% 0.69/1.12
% 0.69/1.12 % ------ Input Options Time Limit: Unbounded
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 % ------
% 0.69/1.12 % Current options:
% 0.69/1.12 % ------
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 %
% 0.69/1.12
% 0.69/1.12 % ------ Proving...
% 0.69/1.12 %
% 0.69/1.12
% 0.69/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.12
% 0.69/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.12
% 0.69/1.12
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