TSTP Solution File: KRS075+1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : KRS075+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 : Mon May 20 23:19:08 EDT 2024
% Result : Unsatisfiable 11.99s 3.28s
% Output : Refutation 12.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 64 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 155 ( 26 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 382 ( 52 ~; 37 |; 31 &; 249 @)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 0 ^ 67 !; 15 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(cp_type,type,
cp: $i > $o ).
thf(rf_type,type,
rf: $i > $i > $o ).
thf(rf1_type,type,
rf1: $i > $i > $o ).
thf(rs_type,type,
rs: $i > $i > $o ).
thf(i2003_11_14_17_19_02584_type,type,
i2003_11_14_17_19_02584: $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(sk3_type,type,
sk3: $i > $i ).
thf(28,axiom,
cUnsatisfiable @ i2003_11_14_17_19_02584,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(147,plain,
cUnsatisfiable @ i2003_11_14_17_19_02584,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(21,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ? [B: $i] :
( ( rf1 @ A @ B )
& ~ ( cp @ B ) )
& ? [B: $i] :
( ( rs @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rf @ A @ B )
& ( cp @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(113,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ? [B: $i] :
( ( rf1 @ A @ B )
& ~ ( cp @ B ) )
& ? [B: $i] :
( ( rs @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rf @ A @ B )
& ( cp @ B ) ) ) )
& ( ( ? [B: $i] :
( ( rf1 @ A @ B )
& ~ ( cp @ B ) )
& ? [B: $i] :
( ( rs @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rf @ A @ B )
& ( cp @ B ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(114,plain,
( ! [A: $i] :
( ( cUnsatisfiable @ A )
=> ( ? [B: $i] :
( ( rf1 @ A @ B )
& ~ ( cp @ B ) )
& ? [B: $i] :
( ( rs @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rf @ A @ B )
& ( cp @ B ) ) ) )
& ! [A: $i] :
( ( ? [B: $i] :
( ( rf1 @ A @ B )
& ~ ( cp @ B ) )
& ? [B: $i] :
( ( rs @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rf @ A @ B )
& ( cp @ B ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(miniscope,[status(thm)],[113]) ).
thf(119,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rf1 @ A @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(178,plain,
! [A: $i] :
( ( rf1 @ A @ ( sk1 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_02584 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[147,119]) ).
thf(179,plain,
rf1 @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ),
inference(pattern_uni,[status(thm)],[178:[bind(A,$thf( i2003_11_14_17_19_02584 ))]]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rf1 @ A @ B )
& ( rf1 @ A @ C ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(126,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rf1 @ A @ B )
& ( rf1 @ A @ C ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(127,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( rf1 @ A @ B )
| ~ ( rf1 @ A @ C )
| ( B = C ) ),
inference(cnf,[status(esa)],[126]) ).
thf(128,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( rf1 @ A @ B )
| ~ ( rf1 @ A @ C ) ),
inference(lifteq,[status(thm)],[127]) ).
thf(617,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( rf1 @ A @ C )
| ( ( rf1 @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ) )
!= ( rf1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[179,128]) ).
thf(618,plain,
! [A: $i] :
( ( ( sk1 @ i2003_11_14_17_19_02584 )
= A )
| ~ ( rf1 @ i2003_11_14_17_19_02584 @ A ) ),
inference(pattern_uni,[status(thm)],[617:[bind(A,$thf( i2003_11_14_17_19_02584 )),bind(B,$thf( sk1 @ i2003_11_14_17_19_02584 )),bind(C,$thf( C ))]]) ).
thf(785,plain,
! [A: $i] :
( ( ( sk1 @ i2003_11_14_17_19_02584 )
= A )
| ~ ( rf1 @ i2003_11_14_17_19_02584 @ A ) ),
inference(simp,[status(thm)],[618]) ).
thf(120,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rs @ A @ ( sk2 @ A ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(180,plain,
! [A: $i] :
( ( rs @ A @ ( sk2 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_02584 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[147,120]) ).
thf(181,plain,
rs @ i2003_11_14_17_19_02584 @ ( sk2 @ i2003_11_14_17_19_02584 ),
inference(pattern_uni,[status(thm)],[180:[bind(A,$thf( i2003_11_14_17_19_02584 ))]]) ).
thf(966,plain,
! [A: $i] :
( ~ ( rf1 @ i2003_11_14_17_19_02584 @ A )
| ( rs @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ) )
| ( A
!= ( sk2 @ i2003_11_14_17_19_02584 ) ) ),
inference(paramod_ordered,[status(thm)],[785,181]) ).
thf(967,plain,
( ~ ( rf1 @ i2003_11_14_17_19_02584 @ ( sk2 @ i2003_11_14_17_19_02584 ) )
| ( rs @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ) ) ),
inference(pattern_uni,[status(thm)],[966:[bind(A,$thf( sk2 @ i2003_11_14_17_19_02584 ))]]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( rs @ A @ B )
=> ( rf1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(148,plain,
! [A: $i,B: $i] :
( ( rs @ A @ B )
=> ( rf1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(149,plain,
! [B: $i,A: $i] :
( ~ ( rs @ A @ B )
| ( rf1 @ A @ B ) ),
inference(cnf,[status(esa)],[148]) ).
thf(2818,plain,
! [B: $i,A: $i] :
( ( rf1 @ A @ B )
| ( ( rs @ i2003_11_14_17_19_02584 @ ( sk2 @ i2003_11_14_17_19_02584 ) )
!= ( rs @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[181,149]) ).
thf(2819,plain,
rf1 @ i2003_11_14_17_19_02584 @ ( sk2 @ i2003_11_14_17_19_02584 ),
inference(pattern_uni,[status(thm)],[2818:[bind(A,$thf( i2003_11_14_17_19_02584 )),bind(B,$thf( sk2 @ i2003_11_14_17_19_02584 ))]]) ).
thf(2829,plain,
( ~ $true
| ( rs @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ) ) ),
inference(rewrite,[status(thm)],[967,2819]) ).
thf(2830,plain,
rs @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ),
inference(simp,[status(thm)],[2829]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( rs @ A @ B )
=> ( rf @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(150,plain,
! [A: $i,B: $i] :
( ( rs @ A @ B )
=> ( rf @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(151,plain,
! [B: $i,A: $i] :
( ~ ( rs @ A @ B )
| ( rf @ A @ B ) ),
inference(cnf,[status(esa)],[150]) ).
thf(3342,plain,
! [B: $i,A: $i] :
( ( rf @ A @ B )
| ( ( rs @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ) )
!= ( rs @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2830,151]) ).
thf(3343,plain,
rf @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ),
inference(pattern_uni,[status(thm)],[3342:[bind(A,$thf( i2003_11_14_17_19_02584 )),bind(B,$thf( sk1 @ i2003_11_14_17_19_02584 ))]]) ).
thf(115,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rf @ A @ ( sk3 @ A ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(163,plain,
! [A: $i] :
( ( rf @ A @ ( sk3 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_02584 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[147,115]) ).
thf(164,plain,
rf @ i2003_11_14_17_19_02584 @ ( sk3 @ i2003_11_14_17_19_02584 ),
inference(pattern_uni,[status(thm)],[163:[bind(A,$thf( i2003_11_14_17_19_02584 ))]]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rf @ A @ B )
& ( rf @ A @ C ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(123,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rf @ A @ B )
& ( rf @ A @ C ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(124,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( rf @ A @ B )
| ~ ( rf @ A @ C )
| ( B = C ) ),
inference(cnf,[status(esa)],[123]) ).
thf(125,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( rf @ A @ B )
| ~ ( rf @ A @ C ) ),
inference(lifteq,[status(thm)],[124]) ).
thf(121,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cp @ ( sk3 @ A ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(158,plain,
! [A: $i] :
( ( cp @ ( sk3 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_02584 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[147,121]) ).
thf(159,plain,
cp @ ( sk3 @ i2003_11_14_17_19_02584 ),
inference(pattern_uni,[status(thm)],[158:[bind(A,$thf( i2003_11_14_17_19_02584 ))]]) ).
thf(118,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( cp @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(152,plain,
! [A: $i] :
( ~ ( cp @ ( sk1 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_02584 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[147,118]) ).
thf(153,plain,
~ ( cp @ ( sk1 @ i2003_11_14_17_19_02584 ) ),
inference(pattern_uni,[status(thm)],[152:[bind(A,$thf( i2003_11_14_17_19_02584 ))]]) ).
thf(165,plain,
( ( cp @ ( sk3 @ i2003_11_14_17_19_02584 ) )
!= ( cp @ ( sk1 @ i2003_11_14_17_19_02584 ) ) ),
inference(paramod_ordered,[status(thm)],[159,153]) ).
thf(167,plain,
( ( sk3 @ i2003_11_14_17_19_02584 )
!= ( sk1 @ i2003_11_14_17_19_02584 ) ),
inference(simp,[status(thm)],[165]) ).
thf(229,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( rf @ A @ B )
| ~ ( rf @ A @ C )
| ( C
!= ( sk1 @ i2003_11_14_17_19_02584 ) )
| ( B
!= ( sk3 @ i2003_11_14_17_19_02584 ) ) ),
inference(paramod_ordered,[status(thm)],[125,167]) ).
thf(230,plain,
! [B: $i,A: $i] :
( ~ ( rf @ A @ ( sk3 @ i2003_11_14_17_19_02584 ) )
| ~ ( rf @ A @ B )
| ( B
!= ( sk1 @ i2003_11_14_17_19_02584 ) ) ),
inference(pattern_uni,[status(thm)],[229:[bind(A,$thf( A )),bind(B,$thf( sk3 @ i2003_11_14_17_19_02584 )),bind(C,$thf( C ))]]) ).
thf(378,plain,
! [A: $i] :
( ~ ( rf @ A @ ( sk3 @ i2003_11_14_17_19_02584 ) )
| ~ ( rf @ A @ ( sk1 @ i2003_11_14_17_19_02584 ) ) ),
inference(simp,[status(thm)],[230]) ).
thf(409,plain,
! [A: $i] :
( ~ ( rf @ A @ ( sk1 @ i2003_11_14_17_19_02584 ) )
| ( ( rf @ i2003_11_14_17_19_02584 @ ( sk3 @ i2003_11_14_17_19_02584 ) )
!= ( rf @ A @ ( sk3 @ i2003_11_14_17_19_02584 ) ) ) ),
inference(paramod_ordered,[status(thm)],[164,378]) ).
thf(410,plain,
~ ( rf @ i2003_11_14_17_19_02584 @ ( sk1 @ i2003_11_14_17_19_02584 ) ),
inference(pattern_uni,[status(thm)],[409:[bind(A,$thf( i2003_11_14_17_19_02584 ))]]) ).
thf(3523,plain,
$false,
inference(rewrite,[status(thm)],[3343,410]) ).
thf(3524,plain,
$false,
inference(simp,[status(thm)],[3523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS075+1 : TPTP v8.2.0. Released v3.1.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 22:28:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.93/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.12/0.98 % [INFO] Parsing done (114ms).
% 1.12/0.99 % [INFO] Running in sequential loop mode.
% 1.72/1.26 % [INFO] nitpick registered as external prover.
% 1.72/1.27 % [INFO] Scanning for conjecture ...
% 1.86/1.30 % [INFO] 30 axioms and no conjecture found.
% 2.08/1.38 % [INFO] Problem is first-order (TPTP FOF).
% 2.08/1.38 % [INFO] Type checking passed.
% 2.08/1.39 % [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 ...
% 11.99/3.25 % [INFO] Killing All external provers ...
% 11.99/3.27 % Time passed: 2718ms (effective reasoning time: 2259ms)
% 11.99/3.28 % Axioms used in derivation (6): axiom_10, axiom_2, axiom_3, axiom_11, axiom_9, axiom_4
% 11.99/3.28 % No. of inferences in proof: 54
% 11.99/3.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2718 ms resp. 2259 ms w/o parsing
% 12.13/3.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.13/3.32 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------