TSTP Solution File: SYN076-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN076-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:27:13 EDT 2023
% Result : Unsatisfiable 24.08s 5.13s
% Output : Refutation 24.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 49
% Syntax : Number of formulae : 84 ( 3 unt; 15 typ; 0 def)
% Number of atoms : 391 ( 262 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 1220 ( 194 ~; 322 |; 0 &; 704 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 258 ( 0 ^; 258 !; 0 ?; 258 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(f1_type,type,
f1: $i > $i > $i ).
thf(c3_type,type,
c3: $i ).
thf(f3_type,type,
f3: $i > $i > $i ).
thf(c4_type,type,
c4: $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f2_type,type,
f2: $i > $i ).
thf(f7_type,type,
f7: $i > $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(f10_type,type,
f10: $i > $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(f9_type,type,
f9: $i > $i > $i ).
thf(f6_type,type,
f6: $i > $i > $i ).
thf(c2_type,type,
c2: $i ).
thf(c1_type,type,
c1: $i ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(16,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(1,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
thf(65,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(13,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
thf(41,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(39,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
thf(66,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(5,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(35,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
thf(43,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(34,axiom,
! [A: $i] :
( ( A = c2 )
| ( A = c1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(153,plain,
! [A: $i] :
( ( A = c2 )
| ( A = c1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(2,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(42,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ B )
| ( B
!= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ B )
| ( B
= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(32,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(3,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(45,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
thf(64,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(7,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(44,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(22,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ C @ ( f10 @ D ) )
| ( C
= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(4,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
= B )
| ( A = c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
thf(48,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f1 @ A @ B ) )
| ( ( f1 @ A @ B )
!= B )
| ( A = c3 )
| ( big_f @ C @ D )
| ( C
!= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ C @ ( f10 @ D ) )
| ( C
!= ( f8 @ D ) )
| ( ( f10 @ D )
= D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(33,axiom,
c2 != c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(150,plain,
c2 != c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(9,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
thf(40,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(28,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
= B )
| ( ( f7 @ A )
!= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
thf(36,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ ( f3 @ C @ D ) @ C )
| ( ( f3 @ C @ D )
!= D )
| ( C = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
thf(51,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_f @ ( f7 @ A ) @ B )
| ( B
!= ( f5 @ A ) )
| ( ( f7 @ A )
= A )
| ~ ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
!= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(11,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
thf(47,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B
= ( f2 @ A ) )
| ( A != c3 )
| ~ ( big_f @ C @ D )
| ( C
= ( f4 @ D ) )
| ( D != c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_f @ ( f7 @ A ) @ ( f6 @ A @ B ) )
| ( ( f6 @ A @ B )
!= B )
| ( ( f7 @ A )
!= A )
| ( big_f @ ( f9 @ C @ D ) @ ( f10 @ C ) )
| ( ( f9 @ C @ D )
= D )
| ( ( f10 @ C )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(8721,plain,
$false,
inference(cvc4,[status(thm)],[52,61,60,38,65,53,41,39,66,35,50,43,58,56,153,42,37,46,57,45,64,44,59,54,49,48,63,150,40,55,36,51,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN076-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:53:21 EDT 2023
% 0.15/0.35 % CPUTime :
% 1.01/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.05 % [INFO] Parsing done (152ms).
% 1.29/1.06 % [INFO] Running in sequential loop mode.
% 1.86/1.26 % [INFO] eprover registered as external prover.
% 1.86/1.26 % [INFO] cvc4 registered as external prover.
% 1.86/1.27 % [INFO] Scanning for conjecture ...
% 2.09/1.38 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 2.33/1.46 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.33/1.46 % [INFO] Problem is propositional (TPTP CNF).
% 2.58/1.47 % [INFO] Type checking passed.
% 2.58/1.47 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.49/1.79 % [INFO] [Domain constraints] Detected constraint on $i
% 3.49/1.80 % [INFO] [Domain constraints] dom($i) ⊆ {c2,c1}
% 24.08/5.13 % External prover 'cvc4' found a proof!
% 24.08/5.13 % [INFO] Killing All external provers ...
% 24.08/5.13 % Time passed: 4608ms (effective reasoning time: 4073ms)
% 24.08/5.13 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 24.08/5.13 % Axioms used in derivation (2): clause_2, clause_1
% 24.08/5.13 % No. of inferences in proof: 69
% 24.08/5.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4608 ms resp. 4073 ms w/o parsing
% 24.08/5.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 24.08/5.16 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------