%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% 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 12:10:16 PM UTC 2026
% Result : Theorem 277.72s 35.45s
% Output : CNFRefutation 52.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 129 ( 10 unt; 12 def)
% Number of atoms : 360 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 419 ( 188 ~; 194 |; 17 &)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 14 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 113 ( 105 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] :
( ( transitive_reflexive_rewrite(c,A)
& transitive_reflexive_rewrite(b,A) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( transitive_reflexive_rewrite(a,c)
& transitive_reflexive_rewrite(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : equalish(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( equalish(A,B)
=> equalish(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( equalish(A,B)
=> transitive_reflexive_rewrite(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] :
( rewrite(A,B)
=> transitive_reflexive_rewrite(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] :
( ( transitive_reflexive_rewrite(B,C)
& transitive_reflexive_rewrite(A,B) )
=> transitive_reflexive_rewrite(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] :
( ( rewrite(A,C)
& rewrite(A,B) )
=> ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] :
( ( transitive_reflexive_rewrite(A,C)
& transitive_reflexive_rewrite(A,B)
& rewrite(a,A) )
=> ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( transitive_reflexive_rewrite(A,B)
=> ( ? [C] :
( transitive_reflexive_rewrite(C,B)
& rewrite(A,C) )
| equalish(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [A] :
( goal
| ~ transitive_reflexive_rewrite(c,A)
| ~ transitive_reflexive_rewrite(b,A) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
( goal
| ! [A] :
( ~ transitive_reflexive_rewrite(c,A)
| ~ transitive_reflexive_rewrite(b,A) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
transitive_reflexive_rewrite(a,b),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
transitive_reflexive_rewrite(a,c),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0] : equalish(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [A,B] :
( equalish(B,A)
| ~ equalish(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [A,B] :
( transitive_reflexive_rewrite(A,B)
| ~ equalish(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [A,B] :
( transitive_reflexive_rewrite(A,B)
| ~ rewrite(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [A,B,C] :
( transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(B,C)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
! [A,C] :
( transitive_reflexive_rewrite(A,C)
| ! [B] :
( ~ transitive_reflexive_rewrite(B,C)
| ~ transitive_reflexive_rewrite(A,B) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [A,B,C] :
( ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) )
| ~ rewrite(A,C)
| ~ rewrite(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
! [B,C] :
( ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) )
| ! [A] :
( ~ rewrite(A,C)
| ~ rewrite(A,B) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f30,plain,
! [B,C] :
( ( transitive_reflexive_rewrite(C,sK0_skl(C,B))
& transitive_reflexive_rewrite(B,sK0_skl(C,B)) )
| ! [A] :
( ~ rewrite(A,C)
| ~ rewrite(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X1,sK0_skl(X2,X1))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X2,sK0_skl(X2,X1))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
! [A,B,C] :
( ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) )
| ~ transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(A,B)
| ~ rewrite(a,A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
! [B,C] :
( ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) )
| ! [A] :
( ~ transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(A,B)
| ~ rewrite(a,A) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
! [B,C] :
( ( transitive_reflexive_rewrite(C,sK1_skl(C,B))
& transitive_reflexive_rewrite(B,sK1_skl(C,B)) )
| ! [A] :
( ~ transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(A,B)
| ~ rewrite(a,A) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X1,sK1_skl(X2,X1))
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X2,sK1_skl(X2,X1))
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [A,B] :
( ? [C] :
( transitive_reflexive_rewrite(C,B)
& rewrite(A,C) )
| equalish(A,B)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
! [A,B] :
( ( transitive_reflexive_rewrite(sK2_skl(B,A),B)
& rewrite(A,sK2_skl(B,A)) )
| equalish(A,B)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( rewrite(X0,sK2_skl(X1,X0))
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(sK2_skl(X1,X0),X1)
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f42,plain,
~ goal,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f43,definition,
! [X0] :
( sQ0_spl
<=> ( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f44,plain,
! [X0] :
( ~ sQ0_spl
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ1_spl
<=> goal ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( ~ sQ1_spl
| goal ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f43,f46]) ).
fof(f51,plain,
! [X0] : transitive_reflexive_rewrite(X0,X0),
inference(resolution,[status(thm)],[f22,f18]) ).
fof(f54,plain,
( ~ sQ0_spl
| ~ transitive_reflexive_rewrite(b,c) ),
inference(resolution,[status(thm)],[f51,f44]) ).
fof(f58,plain,
( rewrite(a,sK2_skl(c,a))
| equalish(a,c) ),
inference(resolution,[status(thm)],[f40,f17]) ).
fof(f59,plain,
( rewrite(a,sK2_skl(b,a))
| equalish(a,b) ),
inference(resolution,[status(thm)],[f40,f16]) ).
fof(f61,definition,
( sQ2_spl
<=> equalish(a,c) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f62,plain,
( ~ sQ2_spl
| equalish(a,c) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,definition,
( sQ3_spl
<=> rewrite(a,sK2_skl(c,a)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( ~ sQ3_spl
| rewrite(a,sK2_skl(c,a)) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f58,f61,f64]) ).
fof(f68,definition,
( sQ4_spl
<=> equalish(a,b) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ4_spl
| equalish(a,b) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ5_spl
<=> rewrite(a,sK2_skl(b,a)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ5_spl
| rewrite(a,sK2_skl(b,a)) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f59,f68,f71]) ).
fof(f75,plain,
( transitive_reflexive_rewrite(sK2_skl(c,a),c)
| equalish(a,c) ),
inference(resolution,[status(thm)],[f41,f17]) ).
fof(f76,plain,
( transitive_reflexive_rewrite(sK2_skl(b,a),b)
| equalish(a,b) ),
inference(resolution,[status(thm)],[f41,f16]) ).
fof(f78,definition,
( sQ6_spl
<=> transitive_reflexive_rewrite(sK2_skl(c,a),c) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ6_spl
| transitive_reflexive_rewrite(sK2_skl(c,a),c) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f75,f61,f78]) ).
fof(f82,definition,
( sQ7_spl
<=> transitive_reflexive_rewrite(sK2_skl(b,a),b) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ7_spl
| transitive_reflexive_rewrite(sK2_skl(b,a),b) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( sQ7_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f76,f68,f82]) ).
fof(f87,plain,
( ~ sQ4_spl
| equalish(b,a) ),
inference(resolution,[status(thm)],[f69,f20]) ).
fof(f89,plain,
( ~ sQ2_spl
| equalish(c,a) ),
inference(resolution,[status(thm)],[f62,f20]) ).
fof(f90,plain,
( ~ sQ4_spl
| transitive_reflexive_rewrite(b,a) ),
inference(resolution,[status(thm)],[f87,f22]) ).
fof(f95,plain,
( ~ sQ4_spl
| transitive_reflexive_rewrite(sK2_skl(a,b),a)
| equalish(b,a) ),
inference(resolution,[status(thm)],[f90,f41]) ).
fof(f96,plain,
( ~ sQ4_spl
| rewrite(b,sK2_skl(a,b))
| equalish(b,a) ),
inference(resolution,[status(thm)],[f90,f40]) ).
fof(f98,definition,
( sQ8_spl
<=> equalish(b,a) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ8_spl
| equalish(b,a) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ9_spl
<=> transitive_reflexive_rewrite(sK2_skl(a,b),a) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ9_spl
| transitive_reflexive_rewrite(sK2_skl(a,b),a) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( ~ sQ4_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f95,f98,f101,f68]) ).
fof(f105,definition,
( sQ10_spl
<=> rewrite(b,sK2_skl(a,b)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ10_spl
| rewrite(b,sK2_skl(a,b)) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( ~ sQ4_spl
| sQ10_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f96,f98,f105,f68]) ).
fof(f109,plain,
! [X0,X1] :
( ~ sQ5_spl
| transitive_reflexive_rewrite(X1,sK1_skl(X1,X0))
| ~ transitive_reflexive_rewrite(sK2_skl(b,a),X1)
| ~ transitive_reflexive_rewrite(sK2_skl(b,a),X0) ),
inference(resolution,[status(thm)],[f72,f37]) ).
fof(f110,plain,
! [X0,X1] :
( ~ sQ5_spl
| transitive_reflexive_rewrite(X0,sK1_skl(X1,X0))
| ~ transitive_reflexive_rewrite(sK2_skl(b,a),X1)
| ~ transitive_reflexive_rewrite(sK2_skl(b,a),X0) ),
inference(resolution,[status(thm)],[f72,f36]) ).
fof(f111,plain,
! [X0] :
( ~ sQ5_spl
| transitive_reflexive_rewrite(X0,sK0_skl(X0,sK2_skl(b,a)))
| ~ rewrite(a,X0) ),
inference(resolution,[status(thm)],[f72,f32]) ).
fof(f112,plain,
! [X0] :
( ~ sQ5_spl
| transitive_reflexive_rewrite(sK2_skl(b,a),sK0_skl(X0,sK2_skl(b,a)))
| ~ rewrite(a,X0) ),
inference(resolution,[status(thm)],[f72,f31]) ).
fof(f128,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ5_spl
| transitive_reflexive_rewrite(X0,sK1_skl(X0,b))
| ~ transitive_reflexive_rewrite(sK2_skl(b,a),X0) ),
inference(resolution,[status(thm)],[f109,f83]) ).
fof(f130,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ5_spl
| transitive_reflexive_rewrite(b,sK1_skl(X0,b))
| ~ transitive_reflexive_rewrite(sK2_skl(b,a),X0) ),
inference(resolution,[status(thm)],[f110,f83]) ).
fof(f139,definition,
( sQ14_spl
<=> equalish(c,a) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ14_spl
| equalish(c,a) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f150,plain,
( ~ sQ8_spl
| transitive_reflexive_rewrite(b,a) ),
inference(resolution,[status(thm)],[f99,f22]) ).
fof(f152,plain,
( ~ sQ14_spl
| transitive_reflexive_rewrite(c,a) ),
inference(resolution,[status(thm)],[f140,f22]) ).
fof(f157,plain,
! [X0] :
( ~ sQ8_spl
| transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(a,X0) ),
inference(resolution,[status(thm)],[f150,f27]) ).
fof(f166,plain,
! [X0] :
( ~ sQ14_spl
| transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(a,X0) ),
inference(resolution,[status(thm)],[f152,f27]) ).
fof(f171,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f47,f42]) ).
fof(f172,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(sK2_skl(b,a),sK0_skl(sK2_skl(c,a),sK2_skl(b,a))) ),
inference(resolution,[status(thm)],[f65,f112]) ).
fof(f175,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(sK2_skl(c,a),sK0_skl(sK2_skl(c,a),sK2_skl(b,a))) ),
inference(resolution,[status(thm)],[f65,f111]) ).
fof(f176,plain,
! [X0,X1] :
( ~ sQ3_spl
| transitive_reflexive_rewrite(X1,sK1_skl(X1,X0))
| ~ transitive_reflexive_rewrite(sK2_skl(c,a),X1)
| ~ transitive_reflexive_rewrite(sK2_skl(c,a),X0) ),
inference(resolution,[status(thm)],[f65,f37]) ).
fof(f177,plain,
! [X0,X1] :
( ~ sQ3_spl
| transitive_reflexive_rewrite(X0,sK1_skl(X1,X0))
| ~ transitive_reflexive_rewrite(sK2_skl(c,a),X1)
| ~ transitive_reflexive_rewrite(sK2_skl(c,a),X0) ),
inference(resolution,[status(thm)],[f65,f36]) ).
fof(f212,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(X0,sK1_skl(X0,c))
| ~ transitive_reflexive_rewrite(sK2_skl(c,a),X0) ),
inference(resolution,[status(thm)],[f176,f79]) ).
fof(f214,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(c,sK1_skl(X0,c))
| ~ transitive_reflexive_rewrite(sK2_skl(c,a),X0) ),
inference(resolution,[status(thm)],[f177,f79]) ).
fof(f289,plain,
( ~ sQ10_spl
| transitive_reflexive_rewrite(b,sK2_skl(a,b)) ),
inference(resolution,[status(thm)],[f106,f24]) ).
fof(f348,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(b,sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b)) ),
inference(resolution,[status(thm)],[f174,f130]) ).
fof(f350,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b)) ),
inference(resolution,[status(thm)],[f174,f128]) ).
fof(f371,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(sK2_skl(c,a),X0)
| ~ transitive_reflexive_rewrite(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),X0) ),
inference(resolution,[status(thm)],[f175,f27]) ).
fof(f580,plain,
( ~ sQ14_spl
| transitive_reflexive_rewrite(c,b) ),
inference(resolution,[status(thm)],[f166,f16]) ).
fof(f583,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ transitive_reflexive_rewrite(b,b) ),
inference(resolution,[status(thm)],[f580,f44]) ).
fof(f588,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f51]) ).
fof(f589,plain,
( ~ sQ0_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f588]) ).
fof(f722,plain,
! [X0] :
( ~ sQ10_spl
| transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(sK2_skl(a,b),X0) ),
inference(resolution,[status(thm)],[f289,f27]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),X0) ),
inference(resolution,[status(thm)],[f348,f27]) ).
fof(f1143,plain,
( ~ sQ8_spl
| transitive_reflexive_rewrite(b,c) ),
inference(resolution,[status(thm)],[f157,f17]) ).
fof(f1160,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ3_spl
| transitive_reflexive_rewrite(sK2_skl(c,a),sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b)) ),
inference(resolution,[status(thm)],[f371,f350]) ).
fof(f2891,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f54]) ).
fof(f2892,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2891]) ).
fof(f5429,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ5_spl
| transitive_reflexive_rewrite(c,sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c)) ),
inference(resolution,[status(thm)],[f1160,f214]) ).
fof(f5431,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ5_spl
| transitive_reflexive_rewrite(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c)) ),
inference(resolution,[status(thm)],[f1160,f212]) ).
fof(f6903,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| transitive_reflexive_rewrite(b,a) ),
inference(resolution,[status(thm)],[f722,f102]) ).
fof(f7087,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ10_spl
| transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(a,X0) ),
inference(resolution,[status(thm)],[f6903,f27]) ).
fof(f7158,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| transitive_reflexive_rewrite(b,c) ),
inference(resolution,[status(thm)],[f7087,f17]) ).
fof(f7165,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7158,f54]) ).
fof(f7166,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f7165]) ).
fof(f9736,plain,
( ~ sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f89,f139,f61]) ).
fof(f41909,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ transitive_reflexive_rewrite(b,sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c)) ),
inference(resolution,[status(thm)],[f5429,f44]) ).
fof(f41954,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ6_spl
| transitive_reflexive_rewrite(b,sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c)) ),
inference(resolution,[status(thm)],[f5431,f1044]) ).
fof(f41958,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f41954,f41909]) ).
fof(f41959,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f41958]) ).
fof(f41960,plain,
$false,
inference(sat_refutation,[status(thm)],[f49,f67,f74,f81,f85,f104,f108,f172,f589,f2892,f7166,f9736,f41959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:13:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 277.72/35.45 % Refutation found
% 277.72/35.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 277.72/35.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 193.99/36.71 % Elapsed time: 36.132430 seconds
% 193.99/36.71 % CPU time: 260.851675 seconds
% 193.99/36.71 % Total memory used: 419.799 MB
% 193.99/36.71 % Net memory used: 355.612 MB
%------------------------------------------------------------------------------