%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:14:58 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 54
% Syntax : Number of formulae : 171 ( 1 unt; 24 def)
% Number of atoms : 433 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 480 ( 218 ~; 238 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 33 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( n10
| n6
| n9
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ~ n10
| n6
| n9
| ~ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( n10
| ~ n6
| ~ n9
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( n8
| ~ p(s8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X8] :
( p(X8)
| ~ n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X7] :
( n7
| ~ p(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( p(s7)
| ~ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X6] :
( n6
| ~ n5(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( n5(s6)
| ~ n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X] :
( n5(X)
| ~ q(s5(X))
| ~ q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X] :
( n5(X)
| q(s5(X))
| q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X,X5] :
( q(X5)
| ~ q(X)
| ~ n5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X,X5] :
( ~ q(X5)
| q(X)
| ~ n5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( n4
| ~ q(s4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X4] :
( q(X4)
| ~ n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X3] :
( n3
| ~ q(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( q(s3)
| ~ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X2] :
( n2
| ~ n1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( n1(s2)
| ~ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X] :
( n1(X)
| ~ p(s1(X))
| ~ p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X] :
( n1(X)
| p(s1(X))
| p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X,X1] :
( p(X1)
| ~ p(X)
| ~ n1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X,X1] :
( ~ p(X1)
| p(X)
| ~ n1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( n9
| ~ n4
| ~ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( n9
| n4
| n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ~ n9
| n4
| ~ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( n10
| ~ n8
| ~ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( n10
| n8
| n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ~ n10
| n8
| ~ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,plain,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
( n10
| n6
| n9
| n2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
( ~ n10
| n6
| n9
| ~ n2 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f43,plain,
( n10
| ~ n6
| ~ n9
| n2 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f45,plain,
( n8
| ~ p(s8) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
( ! [X8] : p(X8)
| ~ n8 ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f47,plain,
! [X0] :
( p(X0)
| ~ n8 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
( n7
| ! [X7] : ~ p(X7) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f49,plain,
! [X0] :
( n7
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
( p(s7)
| ~ n7 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
( n6
| ! [X6] : ~ n5(X6) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f52,plain,
! [X0] :
( n6
| ~ n5(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
( n5(s6)
| ~ n6 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f54,plain,
! [X0] :
( n5(X0)
| ~ q(s5(X0))
| ~ q(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f55,plain,
! [X0] :
( n5(X0)
| q(s5(X0))
| q(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f56,plain,
( ! [X5] : q(X5)
| ! [X] :
( ~ q(X)
| ~ n5(X) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f57,plain,
! [X0,X1] :
( q(X1)
| ~ q(X0)
| ~ n5(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
( ! [X5] : ~ q(X5)
| ! [X] :
( q(X)
| ~ n5(X) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f59,plain,
! [X0,X1] :
( ~ q(X1)
| q(X0)
| ~ n5(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
( n4
| ~ q(s4) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f61,plain,
( ! [X4] : q(X4)
| ~ n4 ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f62,plain,
! [X0] :
( q(X0)
| ~ n4 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
( n3
| ! [X3] : ~ q(X3) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f64,plain,
! [X0] :
( n3
| ~ q(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
( q(s3)
| ~ n3 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f66,plain,
( n2
| ! [X2] : ~ n1(X2) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f67,plain,
! [X0] :
( n2
| ~ n1(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
( n1(s2)
| ~ n2 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f69,plain,
! [X0] :
( n1(X0)
| ~ p(s1(X0))
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f70,plain,
! [X0] :
( n1(X0)
| p(s1(X0))
| p(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f71,plain,
( ! [X1] : p(X1)
| ! [X] :
( ~ p(X)
| ~ n1(X) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f72,plain,
! [X0,X1] :
( p(X1)
| ~ p(X0)
| ~ n1(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
( ! [X1] : ~ p(X1)
| ! [X] :
( p(X)
| ~ n1(X) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f74,plain,
! [X0,X1] :
( ~ p(X1)
| p(X0)
| ~ n1(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
( n9
| ~ n4
| ~ n3 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f76,plain,
( n9
| n4
| n3 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f77,plain,
( ~ n9
| n4
| ~ n3 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f79,plain,
( n10
| ~ n8
| ~ n7 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f80,plain,
( n10
| n8
| n7 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f81,plain,
( ~ n10
| n8
| ~ n7 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f83,definition,
( sQ0_spl
<=> n2 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f86,definition,
( sQ1_spl
<=> n9 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f89,definition,
( sQ2_spl
<=> n6 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f92,definition,
( sQ3_spl
<=> n10 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f83,f86,f89,f92]) ).
fof(f98,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f40,f83,f86,f89,f92]) ).
fof(f100,plain,
( ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f42,f83,f86,f89,f92]) ).
fof(f101,plain,
( sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f43,f83,f86,f89,f92]) ).
fof(f103,definition,
( sQ4_spl
<=> p(s8) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( sQ4_spl
| ~ p(s8) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,definition,
( sQ5_spl
<=> n8 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f103,f106]) ).
fof(f110,definition,
! [X0] :
( sQ6_spl
<=> p(X0) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f111,plain,
! [X0] :
( ~ sQ6_spl
| p(X0) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f106,f110]) ).
fof(f114,definition,
! [X0] :
( sQ7_spl
<=> ~ p(X0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f115,plain,
! [X0] :
( ~ sQ7_spl
| ~ p(X0) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ8_spl
<=> n7 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f49,f114,f117]) ).
fof(f121,definition,
( sQ9_spl
<=> p(s7) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ9_spl
| p(s7) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f50,f117,f121]) ).
fof(f125,definition,
! [X0] :
( sQ10_spl
<=> ~ n5(X0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f126,plain,
! [X0] :
( ~ sQ10_spl
| ~ n5(X0) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f52,f125,f89]) ).
fof(f129,definition,
( sQ11_spl
<=> n5(s6) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ11_spl
| n5(s6) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ11_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f53,f89,f129]) ).
fof(f133,definition,
! [X0] :
( sQ12_spl
<=> ( ~ q(X0)
| ~ n5(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f134,plain,
! [X0] :
( ~ sQ12_spl
| ~ q(X0)
| ~ n5(X0) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
! [X1] :
( sQ13_spl
<=> q(X1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f137,plain,
! [X0] :
( ~ sQ13_spl
| q(X0) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f57,f133,f136]) ).
fof(f140,definition,
! [X0] :
( sQ14_spl
<=> ( q(X0)
| ~ n5(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f141,plain,
! [X0] :
( ~ sQ14_spl
| q(X0)
| ~ n5(X0) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
! [X1] :
( sQ15_spl
<=> ~ q(X1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f144,plain,
! [X0] :
( ~ sQ15_spl
| ~ q(X0) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f59,f140,f143]) ).
fof(f147,definition,
( sQ16_spl
<=> q(s4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( sQ16_spl
| ~ q(s4) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ17_spl
<=> n4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f60,f147,f150]) ).
fof(f154,plain,
( sQ13_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f62,f150,f136]) ).
fof(f155,definition,
( sQ18_spl
<=> n3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( sQ18_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f64,f143,f155]) ).
fof(f159,definition,
( sQ19_spl
<=> q(s3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ19_spl
| q(s3) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f65,f155,f159]) ).
fof(f163,definition,
! [X0] :
( sQ20_spl
<=> ~ n1(X0) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ20_spl
| ~ n1(X0) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ0_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f67,f163,f83]) ).
fof(f167,definition,
( sQ21_spl
<=> n1(s2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ21_spl
| n1(s2) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f83,f167]) ).
fof(f171,definition,
! [X0] :
( sQ22_spl
<=> ( ~ p(X0)
| ~ n1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f172,plain,
! [X0] :
( ~ sQ22_spl
| ~ p(X0)
| ~ n1(X0) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( sQ6_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f72,f171,f110]) ).
fof(f175,definition,
! [X0] :
( sQ23_spl
<=> ( p(X0)
| ~ n1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f176,plain,
! [X0] :
( ~ sQ23_spl
| p(X0)
| ~ n1(X0) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ7_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f74,f175,f114]) ).
fof(f179,plain,
( sQ1_spl
| ~ sQ17_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f75,f155,f150,f86]) ).
fof(f180,plain,
( sQ1_spl
| sQ17_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f76,f155,f150,f86]) ).
fof(f181,plain,
( ~ sQ1_spl
| sQ17_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f77,f155,f150,f86]) ).
fof(f183,plain,
( sQ3_spl
| ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f79,f117,f106,f92]) ).
fof(f184,plain,
( sQ3_spl
| sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f80,f117,f106,f92]) ).
fof(f185,plain,
( ~ sQ3_spl
| sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f81,f117,f106,f92]) ).
fof(f188,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f115]) ).
fof(f189,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f188]) ).
fof(f190,plain,
! [X0] :
( ~ sQ15_spl
| n5(X0)
| q(s5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f55,f144]) ).
fof(f191,plain,
! [X0] :
( ~ sQ15_spl
| n5(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f144]) ).
fof(f192,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f144]) ).
fof(f193,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f192]) ).
fof(f194,plain,
! [X0] :
( ~ sQ7_spl
| n1(X0)
| p(s1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f70,f115]) ).
fof(f195,plain,
! [X0] :
( ~ sQ7_spl
| n1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f194,f115]) ).
fof(f196,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f115]) ).
fof(f197,plain,
( ~ sQ9_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f126]) ).
fof(f199,plain,
( ~ sQ15_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f164]) ).
fof(f201,plain,
( ~ sQ7_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f210,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f168,f211]) ).
fof(f211,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ23_spl
| ~ n1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f172,f176]) ).
fof(f212,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f210]) ).
fof(f214,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f130,f215]) ).
fof(f215,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ14_spl
| ~ n5(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f141]) ).
fof(f216,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( ~ sQ19_spl
| ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f160,f144]) ).
fof(f218,plain,
( ~ sQ19_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ16_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f149,f137]) ).
fof(f220,plain,
( sQ16_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( sQ4_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f111]) ).
fof(f223,plain,
( sQ4_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f222]) ).
fof(f227,plain,
! [X0] :
( ~ sQ13_spl
| n5(X0)
| ~ q(s5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f54,f137]) ).
fof(f228,plain,
! [X0] :
( ~ sQ13_spl
| n5(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f137]) ).
fof(f229,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f126]) ).
fof(f230,plain,
( ~ sQ13_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f231,plain,
! [X0] :
( ~ sQ6_spl
| n1(X0)
| ~ p(s1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f111]) ).
fof(f232,plain,
! [X0] :
( ~ sQ6_spl
| n1(X0) ),
inference(resolution,[status(thm)],[f231,f111]) ).
fof(f233,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f164]) ).
fof(f234,plain,
( ~ sQ6_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f233]) ).
fof(f235,plain,
$false,
inference(sat_refutation,[status(thm)],[f95,f98,f100,f101,f109,f113,f120,f124,f128,f132,f139,f146,f153,f154,f158,f162,f166,f170,f174,f178,f179,f180,f181,f183,f184,f185,f189,f193,f197,f199,f201,f212,f216,f218,f220,f223,f230,f234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:39:12 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.037403 seconds
% 0.10/0.42 % CPU time: 0.100297 seconds
% 0.10/0.42 % Total memory used: 14.570 MB
% 0.10/0.42 % Net memory used: 14.486 MB
%------------------------------------------------------------------------------