TSTP Solution File: SYN759-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN759-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 12:29:51 EDT 2023
% Result : Unsatisfiable 5.39s 2.17s
% Output : Refutation 5.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 57
% Syntax : Number of formulae : 109 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 839 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 2636 ( 622 ~; 736 |; 0 &;1278 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 538 ( 0 ^; 538 !; 0 ?; 538 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssRr_type,type,
ssRr: $i > $i > $o ).
thf(skf1_type,type,
skf1: $i > $i ).
thf(ssPv1_type,type,
ssPv1: $i > $o ).
thf(ssPv2_type,type,
ssPv2: $i > $o ).
thf(ssPv3_type,type,
ssPv3: $i > $o ).
thf(ssPv4_type,type,
ssPv4: $i > $o ).
thf(6,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ( ssPv3 @ B )
| ( ssPv3 @ D )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ( ssPv3 @ B )
| ( ssPv3 @ D )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ( ssPv2 @ B )
| ( ssPv2 @ C )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ( ssPv2 @ B )
| ( ssPv2 @ C )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(39,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ F )
| ( ssPv4 @ E )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
thf(84,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ F )
| ( ssPv4 @ E )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(28,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ E )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
thf(70,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ E )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssPv3 @ C )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssPv3 @ C )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(41,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv3 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ F )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
thf(73,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv3 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ F )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(25,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ E )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
thf(64,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ E )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(8,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ~ ( ssPv4 @ C )
| ( ssPv4 @ B )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ~ ( ssPv4 @ C )
| ( ssPv4 @ B )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ~ ( ssPv4 @ C )
| ( ssPv2 @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(80,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ~ ( ssPv4 @ C )
| ( ssPv2 @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ E )
| ~ ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
thf(67,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ E )
| ~ ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(13,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv3 @ D )
| ( ssPv2 @ E )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(72,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv3 @ D )
| ( ssPv2 @ E )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
! [A: $i] : ( ssRr @ A @ ( skf1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(55,plain,
! [A: $i] : ( ssRr @ A @ ( skf1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(33,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ E )
| ( ssPv3 @ F )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
thf(69,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ E )
| ( ssPv3 @ F )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(47,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ( ssPv2 @ G )
| ( ssPv3 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
thf(101,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ( ssPv2 @ G )
| ( ssPv3 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(18,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ C )
| ( ssPv2 @ B )
| ( ssPv4 @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
thf(88,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ C )
| ( ssPv2 @ B )
| ( ssPv4 @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(43,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv4 @ F )
| ( ssPv3 @ E )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
thf(93,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv4 @ F )
| ( ssPv3 @ E )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(9,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ D )
| ~ ( ssPv4 @ C )
| ( ssPv3 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ D )
| ~ ( ssPv4 @ C )
| ( ssPv3 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(22,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ~ ( ssPv4 @ C )
| ( ssPv3 @ B )
| ( ssPv2 @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
thf(78,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ~ ( ssPv4 @ C )
| ( ssPv3 @ B )
| ( ssPv2 @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(42,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv4 @ F )
| ( ssPv4 @ E )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
thf(61,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv4 @ F )
| ( ssPv4 @ E )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(50,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ C )
| ( ssPv2 @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
thf(89,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ C )
| ( ssPv2 @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(45,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ F )
| ~ ( ssPv2 @ C )
| ( ssPv2 @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
thf(74,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ F )
| ~ ( ssPv2 @ C )
| ( ssPv2 @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(4,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ( ssPv2 @ B )
| ( ssPv1 @ D )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ( ssPv2 @ B )
| ( ssPv1 @ D )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ D )
| ( ssPv1 @ B )
| ( ssPv3 @ C )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(85,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ D )
| ( ssPv1 @ B )
| ( ssPv3 @ C )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv2 @ B )
| ( ssPv2 @ E )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(102,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv2 @ B )
| ( ssPv2 @ E )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(11,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ B )
| ( ssPv2 @ E )
| ( ssPv3 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(92,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ B )
| ( ssPv2 @ E )
| ( ssPv3 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv1 @ E )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(65,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv1 @ E )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(36,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ F )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(97,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ F )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(34,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv2 @ F )
| ( ssPv2 @ B )
| ( ssPv1 @ E )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
thf(77,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv2 @ F )
| ( ssPv2 @ B )
| ( ssPv1 @ E )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(23,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ C )
| ( ssPv3 @ E )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(96,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ C )
| ( ssPv3 @ E )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(38,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ F )
| ( ssPv1 @ E )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
thf(71,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ F )
| ( ssPv1 @ E )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(14,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv4 @ B )
| ( ssPv3 @ E )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(54,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssRr @ C @ E )
| ( ssPv4 @ B )
| ( ssPv3 @ E )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(35,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv2 @ E )
| ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
thf(86,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv2 @ E )
| ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(12,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ( ssPv4 @ B )
| ( ssPv1 @ E )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(81,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv3 @ C )
| ( ssPv4 @ B )
| ( ssPv1 @ E )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(32,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ E )
| ( ssPv2 @ F )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
thf(76,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv4 @ E )
| ( ssPv2 @ F )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(30,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv3 @ B )
| ( ssPv2 @ E )
| ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
thf(98,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv3 @ B )
| ( ssPv2 @ E )
| ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(31,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ C )
| ( ssPv3 @ B )
| ( ssPv1 @ E )
| ( ssPv1 @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(91,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv3 @ C )
| ( ssPv3 @ B )
| ( ssPv1 @ E )
| ( ssPv1 @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(46,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
thf(66,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(37,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
thf(63,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ( ssPv1 @ F )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(26,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ E )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
thf(95,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv1 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv3 @ E )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(51,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ C )
| ( ssPv2 @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
thf(99,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ C )
| ( ssPv2 @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(48,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ( ssPv1 @ G )
| ( ssPv1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
thf(87,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ( ssPv1 @ G )
| ( ssPv1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(17,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv4 @ C )
| ( ssPv3 @ B )
| ( ssPv3 @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(75,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ D )
| ~ ( ssRr @ C @ E )
| ~ ( ssPv4 @ C )
| ( ssPv3 @ B )
| ( ssPv3 @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(2,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ( ssPv1 @ B )
| ( ssPv2 @ D )
| ( ssPv2 @ C )
| ( ssPv3 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ( ssPv1 @ B )
| ( ssPv2 @ D )
| ( ssPv2 @ C )
| ( ssPv3 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(49,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ( ssPv3 @ G )
| ( ssPv4 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
thf(82,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ F @ G )
| ~ ( ssRr @ C @ F )
| ( ssPv3 @ G )
| ( ssPv4 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(44,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
thf(79,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv1 @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(40,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ F )
| ( ssPv2 @ E )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
thf(94,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv2 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssRr @ C @ F )
| ~ ( ssPv1 @ F )
| ( ssPv2 @ E )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(21,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ C )
| ~ ( ssPv3 @ C )
| ( ssPv4 @ B )
| ( ssPv2 @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(68,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv2 @ C )
| ~ ( ssPv3 @ C )
| ( ssPv4 @ B )
| ( ssPv2 @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ( ssPv1 @ C )
| ( ssPv3 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(62,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssPv2 @ E )
| ~ ( ssRr @ C @ D )
| ( ssPv1 @ C )
| ( ssPv3 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ( ssPv3 @ E )
| ( ssPv1 @ C )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(90,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv4 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ( ssPv3 @ E )
| ( ssPv1 @ C )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ B )
| ( ssPv2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv4 @ D )
| ~ ( ssPv1 @ C )
| ( ssPv3 @ B )
| ( ssPv2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ( ssPv1 @ E )
| ( ssPv3 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
thf(100,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( ssRr @ A @ B )
| ~ ( ssPv3 @ B )
| ~ ( ssRr @ C @ A )
| ~ ( ssRr @ D @ E )
| ~ ( ssRr @ C @ D )
| ~ ( ssPv1 @ C )
| ( ssPv1 @ E )
| ( ssPv3 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(179,plain,
$false,
inference(e,[status(thm)],[56,52,84,70,53,73,64,59,80,67,72,55,69,101,88,93,57,78,61,89,74,60,85,102,92,65,97,77,96,71,54,86,81,76,98,91,66,63,95,99,87,75,58,82,79,94,68,62,90,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN759-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:37:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.84/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/0.97 % [INFO] Parsing done (145ms).
% 1.30/0.98 % [INFO] Running in sequential loop mode.
% 1.78/1.18 % [INFO] eprover registered as external prover.
% 1.78/1.18 % [INFO] cvc4 registered as external prover.
% 1.78/1.18 % [INFO] Scanning for conjecture ...
% 2.23/1.33 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.39/1.43 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.39/1.43 % [INFO] Problem is propositional (TPTP CNF).
% 2.39/1.43 % [INFO] Type checking passed.
% 2.39/1.44 % [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 ...
% 5.39/2.17 % External prover 'e' found a proof!
% 5.39/2.17 % [INFO] Killing All external provers ...
% 5.39/2.17 % Time passed: 1656ms (effective reasoning time: 1181ms)
% 5.39/2.17 % 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)>
% 5.39/2.17 % Axioms used in derivation (0):
% 5.39/2.17 % No. of inferences in proof: 103
% 5.39/2.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1656 ms resp. 1181 ms w/o parsing
% 5.63/2.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.63/2.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------