%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 43
% Syntax : Number of formulae : 151 ( 1 unt; 21 def)
% Number of atoms : 456 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 537 ( 232 ~; 284 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 25 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X1] :
( ~ p(fy(X1))
| ~ p(X1)
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X1] :
( p(fy(X1))
| p(X1)
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y4] :
( p(Y4)
| m3
| ~ p(cx)
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y5] :
( p(cx)
| m3
| ~ p(Y5)
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [Z1] :
( q(Z1)
| ~ q(cw)
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [Z] :
( q(cw)
| ~ q(Z)
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [W2] :
( m3
| ~ q(fz5(W2))
| ~ q(W2)
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [W2] :
( q(fz5(W2))
| q(W2)
| m3
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [Y1] :
( p(Y1)
| m1
| ~ p(cx)
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [Y2] :
( p(cx)
| m1
| ~ p(Y2)
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [W1] :
( m2
| ~ q(fz2(W1))
| ~ q(W1)
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [W1] :
( q(fz2(W1))
| q(W1)
| m2
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X2] :
( m3
| m1
| ~ p(fy3(X2))
| ~ p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [Z4] :
( q(Z4)
| m3
| m2
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [Z3] :
( q(cw)
| m3
| m2
| ~ q(Z3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X2] :
( p(fy3(X2))
| p(X2)
| m3
| m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U1,Uu1] :
( q(Uu1)
| ~ q(U1)
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [V1,Vv1] :
( p(Vv1)
| ~ p(V1)
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( m2
| ~ p(cvv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( m1
| ~ q(cuu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( p(cv)
| m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( q(cu)
| m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0] :
( ~ p(fy(X0))
| ~ p(X0)
| ~ m3
| ~ m1 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [X0] :
( p(fy(X0))
| p(X0)
| ~ m3
| ~ m1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
( ! [Y4] : p(Y4)
| m3
| ~ p(cx)
| ~ m1 ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0] :
( p(X0)
| m3
| ~ p(cx)
| ~ m1 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
( p(cx)
| m3
| ! [Y5] : ~ p(Y5)
| ~ m1 ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f28,plain,
! [X0] :
( p(cx)
| m3
| ~ p(X0)
| ~ m1 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
( ! [Z1] : q(Z1)
| ~ q(cw)
| ~ m3
| ~ m2 ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f30,plain,
! [X0] :
( q(X0)
| ~ q(cw)
| ~ m3
| ~ m2 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
( q(cw)
| ! [Z] : ~ q(Z)
| ~ m3
| ~ m2 ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f32,plain,
! [X0] :
( q(cw)
| ~ q(X0)
| ~ m3
| ~ m2 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
( m3
| ! [W2] :
( ~ q(fz5(W2))
| ~ q(W2)
| ~ m2 ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f34,plain,
! [X0] :
( m3
| ~ q(fz5(X0))
| ~ q(X0)
| ~ m2 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0] :
( q(fz5(X0))
| q(X0)
| m3
| ~ m2 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
( ! [Y1] : p(Y1)
| m1
| ~ p(cx)
| ~ m3 ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0] :
( p(X0)
| m1
| ~ p(cx)
| ~ m3 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
( p(cx)
| m1
| ! [Y2] : ~ p(Y2)
| ~ m3 ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f39,plain,
! [X0] :
( p(cx)
| m1
| ~ p(X0)
| ~ m3 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
( m2
| ! [W1] :
( ~ q(fz2(W1))
| ~ q(W1)
| ~ m3 ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f41,plain,
! [X0] :
( m2
| ~ q(fz2(X0))
| ~ q(X0)
| ~ m3 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0] :
( q(fz2(X0))
| q(X0)
| m2
| ~ m3 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f43,plain,
( m3
| m1
| ! [X2] :
( ~ p(fy3(X2))
| ~ p(X2) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f44,plain,
! [X0] :
( m3
| m1
| ~ p(fy3(X0))
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
( ! [Z4] : q(Z4)
| m3
| m2
| ~ q(cw) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f46,plain,
! [X0] :
( q(X0)
| m3
| m2
| ~ q(cw) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
( q(cw)
| m3
| m2
| ! [Z3] : ~ q(Z3) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f48,plain,
! [X0] :
( q(cw)
| m3
| m2
| ~ q(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0] :
( p(fy3(X0))
| p(X0)
| m3
| m1 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f50,plain,
( ! [Uu1] : q(Uu1)
| ! [U1] : ~ q(U1)
| ~ m1 ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f51,plain,
! [X0,X1] :
( q(X1)
| ~ q(X0)
| ~ m1 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
( ! [Vv1] : p(Vv1)
| ! [V1] : ~ p(V1)
| ~ m2 ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f53,plain,
! [X0,X1] :
( p(X1)
| ~ p(X0)
| ~ m2 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
( m2
| ~ p(cvv) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f55,plain,
( m1
| ~ q(cuu) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f56,plain,
( p(cv)
| m2 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f57,plain,
( q(cu)
| m1 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f58,definition,
( sQ0_spl
<=> m1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f61,definition,
( sQ1_spl
<=> m3 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f64,definition,
! [X0] :
( sQ2_spl
<=> ( ~ p(fy(X0))
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f65,plain,
! [X0] :
( ~ sQ2_spl
| ~ p(fy(X0))
| ~ p(X0) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f23,f58,f61,f64]) ).
fof(f68,definition,
! [X0] :
( sQ3_spl
<=> ( p(fy(X0))
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f69,plain,
! [X0] :
( ~ sQ3_spl
| p(fy(X0))
| p(X0) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( sQ3_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f24,f58,f61,f68]) ).
fof(f72,definition,
( sQ4_spl
<=> p(cx) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f75,definition,
! [X0] :
( sQ5_spl
<=> p(X0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f76,plain,
! [X0] :
( ~ sQ5_spl
| p(X0) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( sQ5_spl
| sQ1_spl
| ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f58,f72,f61,f75]) ).
fof(f79,definition,
! [X0] :
( sQ6_spl
<=> ~ p(X0) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f80,plain,
! [X0] :
( ~ sQ6_spl
| ~ p(X0) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( sQ4_spl
| sQ1_spl
| sQ6_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f28,f58,f79,f61,f72]) ).
fof(f83,definition,
( sQ7_spl
<=> m2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f86,definition,
( sQ8_spl
<=> q(cw) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f89,definition,
! [X0] :
( sQ9_spl
<=> q(X0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f90,plain,
! [X0] :
( ~ sQ9_spl
| q(X0) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( sQ9_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f30,f83,f61,f86,f89]) ).
fof(f93,definition,
! [X0] :
( sQ10_spl
<=> ~ q(X0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f94,plain,
! [X0] :
( ~ sQ10_spl
| ~ q(X0) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ8_spl
| sQ10_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f32,f83,f61,f93,f86]) ).
fof(f97,definition,
! [X0] :
( sQ11_spl
<=> ( ~ q(fz5(X0))
| ~ q(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f98,plain,
! [X0] :
( ~ sQ11_spl
| ~ q(fz5(X0))
| ~ q(X0) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( sQ1_spl
| sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f34,f83,f97,f61]) ).
fof(f101,definition,
! [X0] :
( sQ12_spl
<=> ( q(fz5(X0))
| q(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f102,plain,
! [X0] :
( ~ sQ12_spl
| q(fz5(X0))
| q(X0) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( sQ12_spl
| sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f35,f83,f61,f101]) ).
fof(f105,plain,
( sQ5_spl
| sQ0_spl
| ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f37,f61,f72,f58,f75]) ).
fof(f106,plain,
( sQ4_spl
| sQ0_spl
| sQ6_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f61,f79,f58,f72]) ).
fof(f107,definition,
! [X0] :
( sQ13_spl
<=> ( ~ q(fz2(X0))
| ~ q(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f108,plain,
! [X0] :
( ~ sQ13_spl
| ~ q(fz2(X0))
| ~ q(X0) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( sQ7_spl
| sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f41,f61,f107,f83]) ).
fof(f111,definition,
! [X0] :
( sQ14_spl
<=> ( q(fz2(X0))
| q(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f112,plain,
! [X0] :
( ~ sQ14_spl
| q(fz2(X0))
| q(X0) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( sQ14_spl
| sQ7_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f42,f61,f83,f111]) ).
fof(f115,definition,
! [X0] :
( sQ15_spl
<=> ( ~ p(fy3(X0))
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f116,plain,
! [X0] :
( ~ sQ15_spl
| ~ p(fy3(X0))
| ~ p(X0) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( sQ1_spl
| sQ0_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f44,f115,f58,f61]) ).
fof(f119,plain,
( sQ9_spl
| sQ1_spl
| sQ7_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f46,f86,f83,f61,f89]) ).
fof(f120,plain,
( sQ8_spl
| sQ1_spl
| sQ7_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f48,f93,f83,f61,f86]) ).
fof(f121,definition,
! [X0] :
( sQ16_spl
<=> ( p(fy3(X0))
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f122,plain,
! [X0] :
( ~ sQ16_spl
| p(fy3(X0))
| p(X0) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ16_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f58,f61,f121]) ).
fof(f125,plain,
( sQ9_spl
| sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f58,f93,f89]) ).
fof(f126,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f53,f83,f79,f75]) ).
fof(f127,definition,
( sQ17_spl
<=> p(cvv) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( sQ17_spl
| ~ p(cvv) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ7_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f54,f127,f83]) ).
fof(f131,definition,
( sQ18_spl
<=> q(cuu) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ18_spl
| ~ q(cuu) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( sQ0_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f55,f131,f58]) ).
fof(f135,definition,
( sQ19_spl
<=> p(cv) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ19_spl
| p(cv) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( sQ19_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f56,f83,f135]) ).
fof(f139,definition,
( sQ20_spl
<=> q(cu) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ20_spl
| q(cu) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ20_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f58,f139]) ).
fof(f143,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f76,f80]) ).
fof(f144,plain,
( ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f143]) ).
fof(f147,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| ~ p(fy(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f76]) ).
fof(f148,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| $false ),
inference(resolution,[status(thm)],[f147,f76]) ).
fof(f149,plain,
( ~ sQ5_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( ~ sQ19_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f136,f80]) ).
fof(f151,plain,
( ~ sQ19_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f150]) ).
fof(f152,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ9_spl
| ~ q(fz2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f90]) ).
fof(f153,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f90]) ).
fof(f154,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f94]) ).
fof(f157,plain,
( ~ sQ20_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f156]) ).
fof(f158,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| ~ p(fy3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f116,f76]) ).
fof(f159,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f158,f76]) ).
fof(f160,plain,
( ~ sQ15_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ18_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f133,f90]) ).
fof(f162,plain,
( sQ18_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f161]) ).
fof(f164,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ6_spl
| p(fy3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f122,f80]) ).
fof(f165,plain,
( ~ sQ16_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f80]) ).
fof(f166,plain,
( ~ sQ16_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ17_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f76]) ).
fof(f168,plain,
( sQ17_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f169,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ10_spl
| q(fz2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f94]) ).
fof(f170,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f94]) ).
fof(f171,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f170]) ).
fof(f173,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ9_spl
| ~ q(fz5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f90]) ).
fof(f174,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f90]) ).
fof(f175,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f176,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ10_spl
| q(fz5(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f94]) ).
fof(f177,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| $false ),
inference(resolution,[status(thm)],[f176,f94]) ).
fof(f178,plain,
( ~ sQ10_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f177]) ).
fof(f179,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ6_spl
| p(fy(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f69,f80]) ).
fof(f180,plain,
( ~ sQ3_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f80]) ).
fof(f181,plain,
( ~ sQ3_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f182,plain,
$false,
inference(sat_refutation,[status(thm)],[f67,f71,f78,f82,f92,f96,f100,f104,f105,f106,f110,f114,f118,f119,f120,f124,f125,f126,f130,f134,f138,f142,f144,f149,f151,f154,f157,f160,f162,f166,f168,f171,f175,f178,f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN037-2 : 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 : n010.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 10:40:11 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.039092 seconds
% 0.13/0.39 % CPU time: 0.095710 seconds
% 0.13/0.39 % Total memory used: 13.228 MB
% 0.13/0.39 % Net memory used: 13.026 MB
%------------------------------------------------------------------------------