%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 : Sun Sep 27 06:59:37 AM UTC 2026
% Result : Theorem 162.10s 22.69s
% Output : CNFRefutation 162.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 78 ( 29 unt; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 173 ( 73 ~; 75 |; 18 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 49 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(found,axiom,
! [A] :
( ( transitive_reflexive_rewrite(c,A)
& transitive_reflexive_rewrite(b,A) )
=> goal ),
file('theBenchmark.p',found) ).
fof(assumption,axiom,
( transitive_reflexive_rewrite(a,c)
& transitive_reflexive_rewrite(a,b) ),
file('theBenchmark.p',assumption) ).
fof(reflexivity,axiom,
! [A] : equalish(A,A),
file('theBenchmark.p',reflexivity) ).
fof(symmetry,axiom,
! [A,B] :
( equalish(A,B)
=> equalish(B,A) ),
file('theBenchmark.p',symmetry) ).
fof(equality_in_transitive_reflexive_rewrite,axiom,
! [A,B] :
( equalish(A,B)
=> transitive_reflexive_rewrite(A,B) ),
file('theBenchmark.p',equality_in_transitive_reflexive_rewrite) ).
fof(transitivity_of_transitive_reflexive_rewrite,axiom,
! [A,B,C] :
( ( transitive_reflexive_rewrite(B,C)
& transitive_reflexive_rewrite(A,B) )
=> transitive_reflexive_rewrite(A,C) ),
file('theBenchmark.p',transitivity_of_transitive_reflexive_rewrite) ).
fof(lo_cfl,axiom,
! [A,B,C] :
( ( rewrite(A,C)
& rewrite(A,B) )
=> ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) ) ),
file('theBenchmark.p',lo_cfl) ).
fof(ih_cfl,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('theBenchmark.p',ih_cfl) ).
fof(equalish_or_rewrite,axiom,
! [A,B] :
( transitive_reflexive_rewrite(A,B)
=> ( ? [C] :
( transitive_reflexive_rewrite(C,B)
& rewrite(A,C) )
| equalish(A,B) ) ),
file('theBenchmark.p',equalish_or_rewrite) ).
fof(goal_to_be_proved,conjecture,
goal,
file('theBenchmark.p',goal_to_be_proved) ).
fof(goal_to_be_proved_neg,negated_conjecture,
~ goal,
inference(assume_negation,[status(cth)],[goal_to_be_proved]) ).
cnf(c_12,plain,
( goal
| ~ transitive_reflexive_rewrite(c,A)
| ~ transitive_reflexive_rewrite(b,A) ),
inference(clausify,[status(thm)],[found]) ).
cnf(c_13,plain,
transitive_reflexive_rewrite(a,b),
inference(clausify,[status(thm)],[assumption]) ).
cnf(c_14,plain,
transitive_reflexive_rewrite(a,c),
inference(clausify,[status(thm)],[assumption]) ).
cnf(c_15,plain,
equalish(A,A),
inference(clausify,[status(thm)],[reflexivity]) ).
cnf(c_16,plain,
( equalish(B,A)
| ~ equalish(A,B) ),
inference(clausify,[status(thm)],[symmetry]) ).
cnf(c_17,plain,
( transitive_reflexive_rewrite(A,B)
| ~ equalish(A,B) ),
inference(clausify,[status(thm)],[equality_in_transitive_reflexive_rewrite]) ).
cnf(c_19,plain,
( transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(B,C)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(clausify,[status(thm)],[transitivity_of_transitive_reflexive_rewrite]) ).
fof(nnf_8,plain,
! [A,B,C] :
( ? [D] :
( transitive_reflexive_rewrite(C,D)
& transitive_reflexive_rewrite(B,D) )
| ~ rewrite(A,C)
| ~ rewrite(A,B) ),
inference(fof_nnf,[status(thm)],[lo_cfl]) ).
fof(sk_lo_cfl_sk,plain,
! [A,B,C] :
( ( transitive_reflexive_rewrite(C,sK0(A,B,C))
& transitive_reflexive_rewrite(B,sK0(A,B,C)) )
| ~ rewrite(A,C)
| ~ rewrite(A,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(D,sK0(A,B,C))],[nnf_8]) ).
fof(sk_lo_cfl,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( transitive_reflexive_rewrite(VAR_2,sK0(VAR_0,VAR_1,VAR_2))
| ~ rewrite(VAR_0,VAR_2)
| ~ rewrite(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( transitive_reflexive_rewrite(VAR_1,sK0(VAR_0,VAR_1,VAR_2))
| ~ rewrite(VAR_0,VAR_2)
| ~ rewrite(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_lo_cfl_sk]) ).
cnf(c_20,plain,
( transitive_reflexive_rewrite(B,sK0(A,B,C))
| ~ rewrite(A,C)
| ~ rewrite(A,B) ),
inference(split_conjunct,[status(thm)],[sk_lo_cfl]) ).
cnf(c_21,plain,
( transitive_reflexive_rewrite(C,sK0(A,B,C))
| ~ rewrite(A,C)
| ~ rewrite(A,B) ),
inference(split_conjunct,[status(thm)],[sk_lo_cfl]) ).
fof(nnf_9,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(fof_nnf,[status(thm)],[ih_cfl]) ).
fof(sk_ih_cfl_sk,plain,
! [A,B,C] :
( ( transitive_reflexive_rewrite(C,sK1(A,B,C))
& transitive_reflexive_rewrite(B,sK1(A,B,C)) )
| ~ transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(A,B)
| ~ rewrite(a,A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(D,sK1(A,B,C))],[nnf_9]) ).
fof(sk_ih_cfl,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( transitive_reflexive_rewrite(VAR_2,sK1(VAR_0,VAR_1,VAR_2))
| ~ transitive_reflexive_rewrite(VAR_0,VAR_2)
| ~ transitive_reflexive_rewrite(VAR_0,VAR_1)
| ~ rewrite(a,VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( transitive_reflexive_rewrite(VAR_1,sK1(VAR_0,VAR_1,VAR_2))
| ~ transitive_reflexive_rewrite(VAR_0,VAR_2)
| ~ transitive_reflexive_rewrite(VAR_0,VAR_1)
| ~ rewrite(a,VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_ih_cfl_sk]) ).
cnf(c_22,plain,
( transitive_reflexive_rewrite(B,sK1(A,B,C))
| ~ transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(A,B)
| ~ rewrite(a,A) ),
inference(split_conjunct,[status(thm)],[sk_ih_cfl]) ).
cnf(c_23,plain,
( transitive_reflexive_rewrite(C,sK1(A,B,C))
| ~ transitive_reflexive_rewrite(A,C)
| ~ transitive_reflexive_rewrite(A,B)
| ~ rewrite(a,A) ),
inference(split_conjunct,[status(thm)],[sk_ih_cfl]) ).
fof(nnf_10,plain,
! [A,B] :
( ? [C] :
( transitive_reflexive_rewrite(C,B)
& rewrite(A,C) )
| equalish(A,B)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(fof_nnf,[status(thm)],[equalish_or_rewrite]) ).
fof(sk_equalish_or_rewrite_sk,plain,
! [A,B] :
( ( transitive_reflexive_rewrite(sK2(A,B),B)
& rewrite(A,sK2(A,B)) )
| equalish(A,B)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(C,sK2(A,B))],[nnf_10]) ).
fof(sk_equalish_or_rewrite,plain,
( ! [VAR_0,VAR_1] :
( transitive_reflexive_rewrite(sK2(VAR_0,VAR_1),VAR_1)
| equalish(VAR_0,VAR_1)
| ~ transitive_reflexive_rewrite(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( rewrite(VAR_0,sK2(VAR_0,VAR_1))
| equalish(VAR_0,VAR_1)
| ~ transitive_reflexive_rewrite(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_equalish_or_rewrite_sk]) ).
cnf(c_24,plain,
( rewrite(A,sK2(A,B))
| equalish(A,B)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(split_conjunct,[status(thm)],[sk_equalish_or_rewrite]) ).
cnf(c_25,plain,
( transitive_reflexive_rewrite(sK2(A,B),B)
| equalish(A,B)
| ~ transitive_reflexive_rewrite(A,B) ),
inference(split_conjunct,[status(thm)],[sk_equalish_or_rewrite]) ).
cnf(c_26,negated_conjecture,
~ goal,
inference(clausify,[status(thm)],[goal_to_be_proved_neg]) ).
cnf(c_29,negated_conjecture,
( ~ transitive_reflexive_rewrite(c,A)
| ~ transitive_reflexive_rewrite(b,A) ),
inference(resolve,[status(thm)],[c_26,c_12]) ).
cnf(c_30,plain,
transitive_reflexive_rewrite(A,A),
inference(resolve,[status(thm)],[c_17,c_15]) ).
cnf(c_35,plain,
( rewrite(a,sK2(a,c))
| equalish(a,c) ),
inference(resolve,[status(thm)],[c_24,c_14]) ).
cnf(c_36,plain,
( rewrite(a,sK2(a,b))
| equalish(a,b) ),
inference(resolve,[status(thm)],[c_24,c_13]) ).
cnf(c_37,plain,
( transitive_reflexive_rewrite(sK2(a,c),c)
| equalish(a,c) ),
inference(resolve,[status(thm)],[c_25,c_14]) ).
cnf(c_38,plain,
( transitive_reflexive_rewrite(sK2(a,b),b)
| equalish(a,b) ),
inference(resolve,[status(thm)],[c_25,c_13]) ).
cnf(c_39,plain,
~ transitive_reflexive_rewrite(b,c),
inference(resolve,[status(thm)],[c_30,c_29]) ).
cnf(c_40,plain,
~ transitive_reflexive_rewrite(c,b),
inference(resolve,[status(thm)],[c_29,c_30]) ).
cnf(c_25654,plain,
( transitive_reflexive_rewrite(A,c)
| ~ transitive_reflexive_rewrite(A,a) ),
inference(resolve,[status(thm)],[c_19,c_14]) ).
cnf(c_41,plain,
~ transitive_reflexive_rewrite(b,a),
inference(resolve,[status(thm)],[c_25654,c_39]) ).
cnf(c_25655,plain,
( transitive_reflexive_rewrite(A,b)
| ~ transitive_reflexive_rewrite(A,a) ),
inference(resolve,[status(thm)],[c_19,c_13]) ).
cnf(c_44,plain,
~ transitive_reflexive_rewrite(c,a),
inference(resolve,[status(thm)],[c_25655,c_40]) ).
cnf(c_48,plain,
~ equalish(b,a),
inference(resolve,[status(thm)],[c_17,c_41]) ).
cnf(c_49,plain,
( equalish(c,a)
| rewrite(a,sK2(a,c)) ),
inference(resolve,[status(thm)],[c_35,c_16]) ).
cnf(c_51,plain,
~ equalish(c,a),
inference(resolve,[status(thm)],[c_17,c_44]) ).
cnf(c_52,plain,
rewrite(a,sK2(a,c)),
inference(resolve,[status(thm)],[c_51,c_49]) ).
cnf(c_55,plain,
( transitive_reflexive_rewrite(B,sK1(sK2(a,c),A,B))
| ~ transitive_reflexive_rewrite(sK2(a,c),B)
| ~ transitive_reflexive_rewrite(sK2(a,c),A) ),
inference(resolve,[status(thm)],[c_52,c_23]) ).
cnf(c_56,plain,
( transitive_reflexive_rewrite(A,sK1(sK2(a,c),A,B))
| ~ transitive_reflexive_rewrite(sK2(a,c),B)
| ~ transitive_reflexive_rewrite(sK2(a,c),A) ),
inference(resolve,[status(thm)],[c_52,c_22]) ).
cnf(c_58,plain,
( transitive_reflexive_rewrite(A,sK0(a,sK2(a,c),A))
| ~ rewrite(a,A) ),
inference(resolve,[status(thm)],[c_52,c_21]) ).
cnf(c_25656,plain,
( equalish(b,a)
| rewrite(a,sK2(a,b)) ),
inference(resolve,[status(thm)],[c_36,c_16]) ).
cnf(c_66,plain,
rewrite(a,sK2(a,b)),
inference(resolve,[status(thm)],[c_48,c_25656]) ).
cnf(c_69,plain,
( transitive_reflexive_rewrite(B,sK1(sK2(a,b),A,B))
| ~ transitive_reflexive_rewrite(sK2(a,b),B)
| ~ transitive_reflexive_rewrite(sK2(a,b),A) ),
inference(resolve,[status(thm)],[c_66,c_23]) ).
cnf(c_70,plain,
( transitive_reflexive_rewrite(A,sK1(sK2(a,b),A,B))
| ~ transitive_reflexive_rewrite(sK2(a,b),B)
| ~ transitive_reflexive_rewrite(sK2(a,b),A) ),
inference(resolve,[status(thm)],[c_66,c_22]) ).
cnf(c_73,plain,
( transitive_reflexive_rewrite(A,sK0(a,A,sK2(a,b)))
| ~ rewrite(a,A) ),
inference(resolve,[status(thm)],[c_66,c_20]) ).
cnf(c_25657,plain,
( equalish(c,a)
| transitive_reflexive_rewrite(sK2(a,c),c) ),
inference(resolve,[status(thm)],[c_37,c_16]) ).
cnf(c_76,plain,
transitive_reflexive_rewrite(sK2(a,c),c),
inference(resolve,[status(thm)],[c_51,c_25657]) ).
cnf(c_77,plain,
~ equalish(a,b),
inference(resolve,[status(thm)],[c_16,c_48]) ).
cnf(c_78,plain,
transitive_reflexive_rewrite(sK2(a,b),b),
inference(resolve,[status(thm)],[c_77,c_38]) ).
cnf(c_118,plain,
( transitive_reflexive_rewrite(A,sK1(sK2(a,c),c,A))
| ~ transitive_reflexive_rewrite(sK2(a,c),A) ),
inference(resolve,[status(thm)],[c_55,c_76]) ).
cnf(c_143,plain,
transitive_reflexive_rewrite(sK2(a,b),sK0(a,sK2(a,c),sK2(a,b))),
inference(resolve,[status(thm)],[c_58,c_66]) ).
cnf(c_145,plain,
( transitive_reflexive_rewrite(c,sK1(sK2(a,c),c,A))
| ~ transitive_reflexive_rewrite(sK2(a,c),A) ),
inference(resolve,[status(thm)],[c_56,c_76]) ).
cnf(c_156,plain,
transitive_reflexive_rewrite(sK2(a,c),sK0(a,sK2(a,c),sK2(a,b))),
inference(resolve,[status(thm)],[c_73,c_52]) ).
cnf(c_200,plain,
( transitive_reflexive_rewrite(sK2(a,b),A)
| ~ transitive_reflexive_rewrite(sK0(a,sK2(a,c),sK2(a,b)),A) ),
inference(resolve,[status(thm)],[c_143,c_19]) ).
cnf(c_231,plain,
( transitive_reflexive_rewrite(A,sK1(sK2(a,b),b,A))
| ~ transitive_reflexive_rewrite(sK2(a,b),A) ),
inference(resolve,[status(thm)],[c_69,c_78]) ).
cnf(c_248,plain,
( transitive_reflexive_rewrite(b,sK1(sK2(a,b),b,A))
| ~ transitive_reflexive_rewrite(sK2(a,b),A) ),
inference(resolve,[status(thm)],[c_70,c_78]) ).
cnf(c_415,plain,
transitive_reflexive_rewrite(sK0(a,sK2(a,c),sK2(a,b)),sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b)))),
inference(resolve,[status(thm)],[c_118,c_156]) ).
cnf(c_530,plain,
transitive_reflexive_rewrite(c,sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b)))),
inference(resolve,[status(thm)],[c_145,c_156]) ).
cnf(c_1593,plain,
( transitive_reflexive_rewrite(c,A)
| ~ transitive_reflexive_rewrite(sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b))),A) ),
inference(resolve,[status(thm)],[c_530,c_19]) ).
cnf(c_8077,plain,
transitive_reflexive_rewrite(sK2(a,b),sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b)))),
inference(resolve,[status(thm)],[c_415,c_200]) ).
cnf(c_9455,plain,
transitive_reflexive_rewrite(b,sK1(sK2(a,b),b,sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b))))),
inference(resolve,[status(thm)],[c_8077,c_248]) ).
cnf(c_9465,plain,
transitive_reflexive_rewrite(sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b))),sK1(sK2(a,b),b,sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b))))),
inference(resolve,[status(thm)],[c_8077,c_231]) ).
cnf(c_23364,plain,
~ transitive_reflexive_rewrite(c,sK1(sK2(a,b),b,sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b))))),
inference(resolve,[status(thm)],[c_29,c_9455]) ).
cnf(c_25658,plain,
~ transitive_reflexive_rewrite(sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b))),sK1(sK2(a,b),b,sK1(sK2(a,c),c,sK0(a,sK2(a,c),sK2(a,b))))),
inference(resolve,[status(thm)],[c_1593,c_23364]) ).
cnf(c_25653,plain,
$false,
inference(resolve,[status(thm)],[c_9465,c_25658]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n005.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sat Sep 26 23:20:01 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.34 % Process 3359439 was started by sandbox2 on n005,
% 0.08/0.34 % Sat Sep 26 23:20:01 2026
% 0.08/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 162.10/22.69
% 162.10/22.69 % given #500 (F,wt=15): 1436 -transitive_reflexive_rewrite(f2(f3(a,c),f1(a,f3(a,c),f3(a,b)),c),a). [ur(19,a,439,a,c,44,a)].
% 162.10/22.69
% 162.10/22.69 % given #1000 (T,wt=17): 1830 transitive_reflexive_rewrite(f3(a,b),f2(f3(a,b),f2(f3(a,b),f3(a,b),b),b)). [resolve(642,a,92,a)].
% 162.10/22.69
% 162.10/22.69 % given #1500 (F,wt=18): 7679 -transitive_reflexive_rewrite(f2(f3(a,c),c,f2(f3(a,c),c,f2(f3(a,c),c,c))),a). [ur(19,a,2127,a,c,44,a)].
% 162.10/22.69
% 162.10/22.69 % given #2000 (A,wt=39): 512 -transitive_reflexive_rewrite(f3(a,f2(f3(a,c),f3(a,c),c)),A) | -transitive_reflexive_rewrite(f3(a,f2(f3(a,c),f3(a,c),c)),B) | transitive_reflexive_rewrite(B,f2(f3(a,f2(f3(a,c),f3(a,c),c)),A,B)). [resolve(500,a,23,a)].
% 162.10/22.69
% 162.10/22.69 % given #2500 (T,wt=17): 12435 transitive_reflexive_rewrite(c,f2(f3(a,c),c,f2(f3(a,c),f3(f3(a,c),c),c))). [resolve(12128,a,145,a)].
% 162.10/22.69
% 162.10/22.69 % given #3000 (F,wt=17): 15809 -rewrite(f2(f3(a,c),f3(a,c),f2(f3(a,c),c,c)),f3(a,b)). [ur(18,b,14765,a)].
% 162.10/22.69
% 162.10/22.69 % given #3500 (T,wt=20): 3168 transitive_reflexive_rewrite(b,f2(f3(a,b),b,f1(a,f3(a,b),f3(a,f2(f3(a,b),b,b))))). [resolve(316,a,248,a)].
% 162.10/22.69
% 162.10/22.69 % given #4000 (F,wt=15): 22219 -rewrite(c,f3(a,f2(f3(a,b),f2(f3(a,b),b,b),b))). [ur(18,b,22181,a)].
% 162.10/22.69
% 162.10/22.69 % given #4500 (T,wt=20): 10936 transitive_reflexive_rewrite(a,f2(f3(a,c),a,c)) | transitive_reflexive_rewrite(f3(a,c),f2(f3(a,f3(a,c)),c,c)). [resolve(5888,a,87,a)].
% 162.10/22.69
% 162.10/22.69 % given #5000 (F,wt=20): 18709 -transitive_reflexive_rewrite(f2(f3(a,c),f1(a,f3(a,c),f3(a,f2(f3(a,b),b,b))),c),b). [ur(19,a,3032,a,c,40,a)].
% 162.10/22.69
% 162.10/22.69 % SZS status Theorem for theBenchmark
% 162.10/22.69
% 162.10/22.69 % Proof 1 at 20.50 (+ 1.73) seconds.
% 162.10/22.69 % Length of proof is 63.
% 162.10/22.69 % Level of proof is 13.
% 162.10/22.69 % Maximum clause weight is 32.000.
% 162.10/22.69 % Given clauses 5432.
% 162.10/22.69
% 162.10/22.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------