%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 03:15:13 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 59
% Syntax : Number of formulae : 167 ( 10 unt; 29 def)
% Number of atoms : 427 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 492 ( 232 ~; 231 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 59 ( 58 usr; 30 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X] :
( ~ q_0(X)
| ~ p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ~ p_2(X)
| ~ p_1(X)
| p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( ~ p_3(X)
| ~ p_2(X)
| p_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ~ p_4(X)
| ~ p_3(X)
| p_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ~ p_5(X)
| ~ p_4(X)
| p_3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( ~ p_6(X)
| ~ p_5(X)
| p_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( ~ p_7(X)
| ~ p_6(X)
| p_5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( ~ p_8(X)
| ~ p_7(X)
| p_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( ~ p_9(X)
| ~ p_8(X)
| p_7(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( ~ p_10(X)
| ~ p_9(X)
| p_8(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( ~ p_11(X)
| ~ p_10(X)
| p_9(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( ~ p_12(X)
| ~ p_11(X)
| p_10(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( ~ p_13(X)
| ~ p_12(X)
| p_11(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( ~ p_14(X)
| ~ p_13(X)
| p_12(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( ~ p_15(X)
| ~ p_14(X)
| p_13(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( ~ p_2(X)
| ~ q_1(X)
| q_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X] :
( ~ p_3(X)
| ~ q_2(X)
| q_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] :
( ~ p_4(X)
| ~ q_3(X)
| q_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] :
( ~ p_5(X)
| ~ q_4(X)
| q_3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] :
( ~ p_6(X)
| ~ q_5(X)
| q_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] :
( ~ p_7(X)
| ~ q_6(X)
| q_5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X] :
( ~ p_8(X)
| ~ q_7(X)
| q_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X] :
( ~ q_9(X)
| ~ p_8(X)
| q_7(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [X] :
( ~ p_11(X)
| ~ q_10(X)
| q_9(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [X] :
( ~ p_12(X)
| ~ q_11(X)
| q_10(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X] :
( ~ p_13(X)
| ~ q_12(X)
| q_11(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X] :
( ~ q_14(X)
| ~ p_13(X)
| q_12(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
p_14(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
p_15(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
q_14(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,plain,
! [X0] :
( ~ q_0(X0)
| ~ p_0(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f67,plain,
! [X0] :
( ~ p_2(X0)
| ~ p_1(X0)
| p_0(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
! [X0] :
( ~ p_3(X0)
| ~ p_2(X0)
| p_1(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
! [X0] :
( ~ p_4(X0)
| ~ p_3(X0)
| p_2(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f73,plain,
! [X0] :
( ~ p_5(X0)
| ~ p_4(X0)
| p_3(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f75,plain,
! [X0] :
( ~ p_6(X0)
| ~ p_5(X0)
| p_4(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f77,plain,
! [X0] :
( ~ p_7(X0)
| ~ p_6(X0)
| p_5(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f79,plain,
! [X0] :
( ~ p_8(X0)
| ~ p_7(X0)
| p_6(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f81,plain,
! [X0] :
( ~ p_9(X0)
| ~ p_8(X0)
| p_7(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f83,plain,
! [X0] :
( ~ p_10(X0)
| ~ p_9(X0)
| p_8(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f85,plain,
! [X0] :
( ~ p_11(X0)
| ~ p_10(X0)
| p_9(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f87,plain,
! [X0] :
( ~ p_12(X0)
| ~ p_11(X0)
| p_10(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f89,plain,
! [X0] :
( ~ p_13(X0)
| ~ p_12(X0)
| p_11(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f91,plain,
! [X0] :
( ~ p_14(X0)
| ~ p_13(X0)
| p_12(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f93,plain,
! [X0] :
( ~ p_15(X0)
| ~ p_14(X0)
| p_13(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f96,plain,
! [X0] :
( ~ p_2(X0)
| ~ q_1(X0)
| q_0(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f98,plain,
! [X0] :
( ~ p_3(X0)
| ~ q_2(X0)
| q_1(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f100,plain,
! [X0] :
( ~ p_4(X0)
| ~ q_3(X0)
| q_2(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f102,plain,
! [X0] :
( ~ p_5(X0)
| ~ q_4(X0)
| q_3(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f104,plain,
! [X0] :
( ~ p_6(X0)
| ~ q_5(X0)
| q_4(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f106,plain,
! [X0] :
( ~ p_7(X0)
| ~ q_6(X0)
| q_5(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f108,plain,
! [X0] :
( ~ p_8(X0)
| ~ q_7(X0)
| q_6(X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f109,plain,
! [X0] :
( ~ q_9(X0)
| ~ p_8(X0)
| q_7(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f114,plain,
! [X0] :
( ~ p_11(X0)
| ~ q_10(X0)
| q_9(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f116,plain,
! [X0] :
( ~ p_12(X0)
| ~ q_11(X0)
| q_10(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f118,plain,
! [X0] :
( ~ p_13(X0)
| ~ q_12(X0)
| q_11(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f119,plain,
! [X0] :
( ~ q_14(X0)
| ~ p_13(X0)
| q_12(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f127,plain,
p_14(a),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f128,plain,
p_15(a),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f129,plain,
q_14(a),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f131,plain,
( ~ p_15(a)
| p_13(a) ),
inference(resolution,[status(thm)],[f93,f127]) ).
fof(f132,definition,
( sQ0_spl
<=> p_13(a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ0_spl
| p_13(a) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ1_spl
<=> p_15(a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( sQ1_spl
| ~ p_15(a) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f131,f132,f135]) ).
fof(f139,plain,
( ~ sQ0_spl
| ~ p_14(a)
| p_12(a) ),
inference(resolution,[status(thm)],[f133,f91]) ).
fof(f140,plain,
( ~ sQ0_spl
| ~ p_12(a)
| p_11(a) ),
inference(resolution,[status(thm)],[f133,f89]) ).
fof(f141,definition,
( sQ2_spl
<=> p_12(a) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ2_spl
| p_12(a) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ3_spl
<=> p_14(a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ3_spl
| ~ p_14(a) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f139,f141,f144,f132]) ).
fof(f148,definition,
( sQ4_spl
<=> p_11(a) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ4_spl
| p_11(a) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f140,f148,f141,f132]) ).
fof(f152,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f127]) ).
fof(f153,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f128]) ).
fof(f155,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( ~ sQ4_spl
| ~ p_10(a)
| p_9(a) ),
inference(resolution,[status(thm)],[f149,f85]) ).
fof(f157,definition,
( sQ5_spl
<=> p_9(a) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f160,definition,
( sQ6_spl
<=> p_10(a) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ6_spl
| p_10(a) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f156,f157,f160,f148]) ).
fof(f173,plain,
( ~ sQ2_spl
| ~ p_11(a)
| p_10(a) ),
inference(resolution,[status(thm)],[f142,f87]) ).
fof(f174,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f173,f160,f148,f141]) ).
fof(f175,plain,
( ~ sQ6_spl
| ~ p_9(a)
| p_8(a) ),
inference(resolution,[status(thm)],[f161,f83]) ).
fof(f176,definition,
( sQ8_spl
<=> p_8(a) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ8_spl
| p_8(a) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f175,f176,f157,f160]) ).
fof(f180,plain,
( ~ sQ8_spl
| ~ p_9(a)
| p_7(a) ),
inference(resolution,[status(thm)],[f177,f81]) ).
fof(f181,plain,
( ~ sQ8_spl
| ~ p_7(a)
| p_6(a) ),
inference(resolution,[status(thm)],[f177,f79]) ).
fof(f183,definition,
( sQ9_spl
<=> p_7(a) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ9_spl
| p_7(a) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f180,f183,f157,f176]) ).
fof(f187,definition,
( sQ10_spl
<=> p_6(a) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ10_spl
| p_6(a) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f181,f187,f183,f176]) ).
fof(f191,plain,
( ~ sQ10_spl
| ~ p_5(a)
| p_4(a) ),
inference(resolution,[status(thm)],[f188,f75]) ).
fof(f192,definition,
( sQ11_spl
<=> p_4(a) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ11_spl
| p_4(a) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ12_spl
<=> p_5(a) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ12_spl
| p_5(a) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f191,f192,f195,f187]) ).
fof(f199,plain,
( ~ sQ9_spl
| ~ p_6(a)
| p_5(a) ),
inference(resolution,[status(thm)],[f184,f77]) ).
fof(f201,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f199,f195,f187,f183]) ).
fof(f202,plain,
( ~ sQ11_spl
| ~ p_3(a)
| p_2(a) ),
inference(resolution,[status(thm)],[f193,f71]) ).
fof(f203,definition,
( sQ13_spl
<=> p_2(a) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ13_spl
| p_2(a) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ14_spl
<=> p_3(a) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ14_spl
| p_3(a) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f202,f203,f206,f192]) ).
fof(f210,plain,
( ~ sQ12_spl
| ~ p_4(a)
| p_3(a) ),
inference(resolution,[status(thm)],[f196,f73]) ).
fof(f211,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f210,f206,f192,f195]) ).
fof(f212,plain,
( ~ sQ13_spl
| ~ q_1(a)
| q_0(a) ),
inference(resolution,[status(thm)],[f204,f96]) ).
fof(f213,plain,
( ~ sQ13_spl
| ~ p_1(a)
| p_0(a) ),
inference(resolution,[status(thm)],[f204,f67]) ).
fof(f214,definition,
( sQ15_spl
<=> q_0(a) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ15_spl
| q_0(a) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ16_spl
<=> q_1(a) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f212,f214,f217,f203]) ).
fof(f221,definition,
( sQ17_spl
<=> p_0(a) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ17_spl
| p_0(a) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ18_spl
<=> p_1(a) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f213,f221,f224,f203]) ).
fof(f228,plain,
( ~ sQ14_spl
| ~ p_2(a)
| p_1(a) ),
inference(resolution,[status(thm)],[f207,f69]) ).
fof(f229,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f228,f224,f203,f206]) ).
fof(f230,plain,
( ~ sQ15_spl
| ~ p_0(a) ),
inference(resolution,[status(thm)],[f215,f66]) ).
fof(f231,plain,
( ~ sQ14_spl
| ~ q_2(a)
| q_1(a) ),
inference(resolution,[status(thm)],[f98,f207]) ).
fof(f232,definition,
( sQ19_spl
<=> q_2(a) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f231,f217,f232,f206]) ).
fof(f236,plain,
( ~ sQ15_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f222]) ).
fof(f237,plain,
( ~ sQ15_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( ~ sQ11_spl
| ~ q_3(a)
| q_2(a) ),
inference(resolution,[status(thm)],[f100,f193]) ).
fof(f239,definition,
( sQ20_spl
<=> q_3(a) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ11_spl
| ~ sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f238,f232,f239,f192]) ).
fof(f243,plain,
( ~ sQ12_spl
| ~ q_4(a)
| q_3(a) ),
inference(resolution,[status(thm)],[f102,f196]) ).
fof(f244,definition,
( sQ21_spl
<=> q_4(a) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ12_spl
| ~ sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f243,f239,f244,f195]) ).
fof(f248,plain,
( ~ sQ10_spl
| ~ q_5(a)
| q_4(a) ),
inference(resolution,[status(thm)],[f104,f188]) ).
fof(f249,definition,
( sQ22_spl
<=> q_5(a) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ10_spl
| ~ sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f248,f244,f249,f187]) ).
fof(f253,plain,
( ~ sQ9_spl
| ~ q_6(a)
| q_5(a) ),
inference(resolution,[status(thm)],[f106,f184]) ).
fof(f254,definition,
( sQ23_spl
<=> q_6(a) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ9_spl
| ~ sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f253,f249,f254,f183]) ).
fof(f258,plain,
( ~ sQ8_spl
| ~ q_7(a)
| q_6(a) ),
inference(resolution,[status(thm)],[f108,f177]) ).
fof(f259,definition,
( sQ24_spl
<=> q_7(a) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ8_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f258,f254,f259,f176]) ).
fof(f263,plain,
( ~ sQ8_spl
| ~ q_9(a)
| q_7(a) ),
inference(resolution,[status(thm)],[f109,f177]) ).
fof(f264,definition,
( sQ25_spl
<=> q_9(a) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ8_spl
| ~ sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f263,f259,f264,f176]) ).
fof(f273,plain,
( ~ sQ4_spl
| ~ q_10(a)
| q_9(a) ),
inference(resolution,[status(thm)],[f114,f149]) ).
fof(f274,definition,
( sQ27_spl
<=> q_10(a) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ4_spl
| ~ sQ27_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f273,f264,f274,f148]) ).
fof(f278,plain,
( ~ sQ2_spl
| ~ q_11(a)
| q_10(a) ),
inference(resolution,[status(thm)],[f116,f142]) ).
fof(f279,definition,
( sQ28_spl
<=> q_11(a) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ2_spl
| ~ sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f278,f274,f279,f141]) ).
fof(f283,plain,
( ~ sQ0_spl
| ~ q_12(a)
| q_11(a) ),
inference(resolution,[status(thm)],[f118,f133]) ).
fof(f284,definition,
( sQ29_spl
<=> q_12(a) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ0_spl
| ~ sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f283,f279,f284,f132]) ).
fof(f288,plain,
( ~ sQ0_spl
| ~ q_14(a)
| q_12(a) ),
inference(resolution,[status(thm)],[f119,f133]) ).
fof(f289,definition,
( sQ30_spl
<=> q_14(a) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ30_spl
| ~ q_14(a) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( ~ sQ0_spl
| ~ sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f288,f284,f289,f132]) ).
fof(f293,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f291,f129]) ).
fof(f294,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f293]) ).
fof(f295,plain,
$false,
inference(sat_refutation,[status(thm)],[f138,f147,f151,f153,f155,f163,f174,f179,f186,f190,f198,f201,f209,f211,f220,f227,f229,f235,f237,f242,f247,f252,f257,f262,f267,f277,f282,f287,f292,f294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:46:07 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.056678 seconds
% 0.12/0.40 % CPU time: 0.154136 seconds
% 0.12/0.40 % Total memory used: 56.956 MB
% 0.12/0.40 % Net memory used: 56.928 MB
%------------------------------------------------------------------------------