%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 30
% Syntax : Number of formulae : 119 ( 1 unt; 14 def)
% Number of atoms : 447 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 556 ( 228 ~; 314 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 128 ( 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y3,Z3] :
( q(Z3)
| p(Y3)
| ~ q(cw)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Z4,Y3] :
( q(cw)
| p(Y3)
| ~ q(Z4)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y4,Z3] :
( q(Z3)
| p(cx)
| ~ q(cw)
| ~ p(Y4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y4,Z4] :
( q(cw)
| p(cx)
| ~ q(Z4)
| ~ p(Y4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X7,Z3] :
( q(Z3)
| ~ q(cw)
| ~ p(fy5(X7))
| ~ p(X7)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X7,Z4] :
( q(cw)
| ~ q(Z4)
| ~ p(fy5(X7))
| ~ p(X7)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [W9,Y3] :
( p(Y3)
| ~ q(fz5(W9))
| ~ q(W9)
| ~ q(cw)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [Y1,W3] :
( q(fz(W3))
| q(W3)
| q(cw)
| p(Y1)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [Y2,W3] :
( q(fz(W3))
| q(W3)
| q(cw)
| p(cx)
| ~ p(Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [Y4,W9] :
( p(cx)
| ~ q(fz5(W9))
| ~ q(W9)
| ~ q(cw)
| ~ p(Y4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X1,Z1] :
( q(Z1)
| p(fy(X1))
| p(X1)
| p(cx)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [Z2,X1] :
( q(cw)
| p(fy(X1))
| p(X1)
| p(cx)
| ~ q(Z2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X1,W3] :
( q(fz(W3))
| q(W3)
| q(cw)
| ~ p(fy(X1))
| ~ p(X1)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X7,W9] :
( ~ q(fz5(W9))
| ~ q(W9)
| ~ q(cw)
| ~ p(fy5(X7))
| ~ p(X7)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [W3,X1] :
( p(fy(X1))
| p(X1)
| p(cx)
| ~ q(fz(W3))
| ~ q(W3)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X7,W9] :
( q(fz5(W9))
| q(W9)
| q(cw)
| p(fy5(X7))
| p(X7)
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
( ! [Z3] : q(Z3)
| ! [Y3] : p(Y3)
| ~ q(cw)
| ~ p(cx) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f34,plain,
! [X0,X1] :
( q(X1)
| p(X0)
| ~ q(cw)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
( q(cw)
| ! [Y3] : p(Y3)
| ! [Z4] : ~ q(Z4)
| ~ p(cx) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f36,plain,
! [X0,X1] :
( q(cw)
| p(X1)
| ~ q(X0)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
( ! [Z3] : q(Z3)
| p(cx)
| ~ q(cw)
| ! [Y4] : ~ p(Y4) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f38,plain,
! [X0,X1] :
( q(X1)
| p(cx)
| ~ q(cw)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
( q(cw)
| p(cx)
| ! [Z4] : ~ q(Z4)
| ! [Y4] : ~ p(Y4) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f40,plain,
! [X0,X1] :
( q(cw)
| p(cx)
| ~ q(X1)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
( ! [Z3] : q(Z3)
| ~ q(cw)
| ! [X7] :
( ~ p(fy5(X7))
| ~ p(X7)
| ~ p(cx) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f42,plain,
! [X0,X1] :
( q(X1)
| ~ q(cw)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
( q(cw)
| ! [Z4] : ~ q(Z4)
| ! [X7] :
( ~ p(fy5(X7))
| ~ p(X7)
| ~ p(cx) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f44,plain,
! [X0,X1] :
( q(cw)
| ~ q(X1)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
( ! [Y3] : p(Y3)
| ! [W9] :
( ~ q(fz5(W9))
| ~ q(W9)
| ~ q(cw)
| ~ p(cx) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f46,plain,
! [X0,X1] :
( p(X1)
| ~ q(fz5(X0))
| ~ q(X0)
| ~ q(cw)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f51,plain,
! [W3] :
( q(fz(W3))
| q(W3)
| q(cw)
| ! [Y1] : p(Y1)
| ~ p(cx) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f52,plain,
! [X0,X1] :
( q(fz(X1))
| q(X1)
| q(cw)
| p(X0)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f61,plain,
! [W3] :
( q(fz(W3))
| q(W3)
| q(cw)
| p(cx)
| ! [Y2] : ~ p(Y2) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f62,plain,
! [X0,X1] :
( q(fz(X1))
| q(X1)
| q(cw)
| p(cx)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
( p(cx)
| ! [W9] :
( ~ q(fz5(W9))
| ~ q(W9)
| ~ q(cw)
| ! [Y4] : ~ p(Y4) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f64,plain,
! [X0,X1] :
( p(cx)
| ~ q(fz5(X1))
| ~ q(X1)
| ~ q(cw)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f69,plain,
( ! [Z1] : q(Z1)
| ! [X1] :
( p(fy(X1))
| p(X1)
| p(cx)
| ~ q(cw) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f70,plain,
! [X0,X1] :
( q(X1)
| p(fy(X0))
| p(X0)
| p(cx)
| ~ q(cw) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
( q(cw)
| ! [X1] :
( p(fy(X1))
| p(X1)
| p(cx)
| ! [Z2] : ~ q(Z2) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f72,plain,
! [X0,X1] :
( q(cw)
| p(fy(X1))
| p(X1)
| p(cx)
| ~ q(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f75,plain,
! [W3] :
( q(fz(W3))
| q(W3)
| q(cw)
| ! [X1] :
( ~ p(fy(X1))
| ~ p(X1)
| ~ p(cx) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f76,plain,
! [X0,X1] :
( q(fz(X1))
| q(X1)
| q(cw)
| ~ p(fy(X0))
| ~ p(X0)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [W9] :
( ~ q(fz5(W9))
| ~ q(W9)
| ~ q(cw)
| ! [X7] :
( ~ p(fy5(X7))
| ~ p(X7)
| ~ p(cx) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f78,plain,
! [X0,X1] :
( ~ q(fz5(X1))
| ~ q(X1)
| ~ q(cw)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f91,plain,
! [X1] :
( p(fy(X1))
| p(X1)
| p(cx)
| ! [W3] :
( ~ q(fz(W3))
| ~ q(W3)
| ~ q(cw) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f92,plain,
! [X0,X1] :
( p(fy(X1))
| p(X1)
| p(cx)
| ~ q(fz(X0))
| ~ q(X0)
| ~ q(cw) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f95,plain,
! [W9] :
( q(fz5(W9))
| q(W9)
| q(cw)
| ! [X7] :
( p(fy5(X7))
| p(X7)
| p(cx) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f96,plain,
! [X0,X1] :
( q(fz5(X1))
| q(X1)
| q(cw)
| p(fy5(X0))
| p(X0)
| p(cx) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,definition,
( sQ0_spl
<=> p(cx) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f100,definition,
( sQ1_spl
<=> q(cw) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f103,definition,
! [X0] :
( sQ2_spl
<=> p(X0) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f104,plain,
! [X0] :
( ~ sQ2_spl
| p(X0) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,definition,
! [X1] :
( sQ3_spl
<=> q(X1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f107,plain,
! [X0] :
( ~ sQ3_spl
| q(X0) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f97,f100,f103,f106]) ).
fof(f110,definition,
! [X0] :
( sQ4_spl
<=> ~ q(X0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f111,plain,
! [X0] :
( ~ sQ4_spl
| ~ q(X0) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( sQ1_spl
| sQ2_spl
| sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f97,f110,f103,f100]) ).
fof(f114,definition,
! [X0] :
( sQ5_spl
<=> ~ p(X0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f115,plain,
! [X0] :
( ~ sQ5_spl
| ~ p(X0) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( sQ3_spl
| sQ0_spl
| ~ sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f38,f114,f100,f97,f106]) ).
fof(f118,plain,
( sQ1_spl
| sQ0_spl
| sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f40,f114,f110,f97,f100]) ).
fof(f119,definition,
! [X0] :
( sQ6_spl
<=> ( ~ p(fy5(X0))
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f120,plain,
! [X0] :
( ~ sQ6_spl
| ~ p(fy5(X0))
| ~ p(X0) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( sQ3_spl
| ~ sQ1_spl
| sQ6_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f42,f97,f119,f100,f106]) ).
fof(f123,plain,
( sQ1_spl
| sQ4_spl
| sQ6_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f44,f97,f119,f110,f100]) ).
fof(f124,definition,
! [X0] :
( sQ7_spl
<=> ( ~ q(fz5(X0))
| ~ q(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f125,plain,
! [X0] :
( ~ sQ7_spl
| ~ q(fz5(X0))
| ~ q(X0) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ2_spl
| sQ7_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f97,f100,f124,f103]) ).
fof(f128,definition,
! [X2] :
( sQ8_spl
<=> ( q(fz(X2))
| q(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f129,plain,
! [X0] :
( ~ sQ8_spl
| q(fz(X0))
| q(X0) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f132,definition,
! [X0] :
( sQ9_spl
<=> ( ~ q(fz(X0))
| ~ q(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f133,plain,
! [X0] :
( ~ sQ9_spl
| ~ q(fz(X0))
| ~ q(X0) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f136,plain,
( sQ8_spl
| sQ1_spl
| sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f97,f103,f100,f128]) ).
fof(f137,definition,
! [X0] :
( sQ10_spl
<=> ( ~ p(fy(X0))
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f138,plain,
! [X0] :
( ~ sQ10_spl
| ~ p(fy(X0))
| ~ p(X0) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f141,definition,
! [X1] :
( sQ11_spl
<=> ( p(fy(X1))
| p(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f142,plain,
! [X0] :
( ~ sQ11_spl
| p(fy(X0))
| p(X0) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f149,definition,
! [X2] :
( sQ13_spl
<=> ( p(fy5(X2))
| p(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f150,plain,
! [X0] :
( ~ sQ13_spl
| p(fy5(X0))
| p(X0) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f153,plain,
( sQ8_spl
| sQ1_spl
| sQ0_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f62,f114,f97,f100,f128]) ).
fof(f154,plain,
( sQ0_spl
| sQ7_spl
| ~ sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f64,f114,f100,f124,f97]) ).
fof(f155,definition,
! [X2] :
( sQ14_spl
<=> ( q(fz5(X2))
| q(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f156,plain,
! [X0] :
( ~ sQ14_spl
| q(fz5(X0))
| q(X0) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f160,plain,
( sQ3_spl
| sQ11_spl
| sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f70,f100,f97,f141,f106]) ).
fof(f161,plain,
( sQ1_spl
| sQ11_spl
| sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f72,f110,f97,f141,f100]) ).
fof(f163,plain,
( sQ8_spl
| sQ1_spl
| sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f97,f137,f100,f128]) ).
fof(f164,plain,
( sQ7_spl
| ~ sQ1_spl
| sQ6_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f78,f97,f119,f100,f124]) ).
fof(f171,plain,
( sQ11_spl
| sQ0_spl
| sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f92,f100,f132,f97,f141]) ).
fof(f173,plain,
( sQ14_spl
| sQ1_spl
| sQ13_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f96,f97,f149,f100,f155]) ).
fof(f174,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f107]) ).
fof(f175,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f115]) ).
fof(f177,plain,
( ~ sQ2_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f179,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ4_spl
| q(fz(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f111]) ).
fof(f180,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| $false ),
inference(resolution,[status(thm)],[f179,f111]) ).
fof(f181,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f182,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ2_spl
| ~ p(fy5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f120,f104]) ).
fof(f184,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f104]) ).
fof(f185,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ5_spl
| p(fy5(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f115]) ).
fof(f187,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| $false ),
inference(resolution,[status(thm)],[f186,f115]) ).
fof(f188,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f187]) ).
fof(f189,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ3_spl
| ~ q(fz5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f125,f107]) ).
fof(f190,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ3_spl
| ~ q(fz(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f133,f107]) ).
fof(f191,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f189,f107]) ).
fof(f192,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f193,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ2_spl
| ~ p(fy(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f138,f104]) ).
fof(f194,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f104]) ).
fof(f195,plain,
( ~ sQ10_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f194]) ).
fof(f196,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ5_spl
| p(fy(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f115]) ).
fof(f197,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| $false ),
inference(resolution,[status(thm)],[f196,f115]) ).
fof(f198,plain,
( ~ sQ5_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f199,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ4_spl
| q(fz5(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f111]) ).
fof(f200,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| $false ),
inference(resolution,[status(thm)],[f199,f111]) ).
fof(f201,plain,
( ~ sQ4_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( ~ sQ9_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f107]) ).
fof(f203,plain,
( ~ sQ9_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f204,plain,
$false,
inference(sat_refutation,[status(thm)],[f109,f113,f117,f118,f122,f123,f127,f136,f153,f154,f160,f161,f163,f164,f171,f173,f175,f177,f181,f185,f188,f192,f195,f198,f201,f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:38:52 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % 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
% 0.12/0.41 % Elapsed time: 0.051528 seconds
% 0.12/0.41 % CPU time: 0.138984 seconds
% 0.12/0.41 % Total memory used: 17.439 MB
% 0.12/0.41 % Net memory used: 17.220 MB
%------------------------------------------------------------------------------