TSTP Solution File: SYN036-3 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN036-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : Fri May 19 12:27:00 EDT 2023
% Result : Unsatisfiable 3.42s 1.78s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 56
% Syntax : Number of formulae : 93 ( 1 unt; 20 typ; 0 def)
% Number of atoms : 209 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 320 ( 104 ~; 136 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 20 usr; 15 con; 0-1 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(n2_type,type,
n2: $o ).
thf(n9_type,type,
n9: $o ).
thf(n6_type,type,
n6: $o ).
thf(n10_type,type,
n10: $o ).
thf(p_type,type,
p: $i > $o ).
thf(s8_type,type,
s8: $i ).
thf(n8_type,type,
n8: $o ).
thf(n7_type,type,
n7: $o ).
thf(s7_type,type,
s7: $i ).
thf(n5_type,type,
n5: $i > $o ).
thf(s6_type,type,
s6: $i ).
thf(q_type,type,
q: $i > $o ).
thf(s5_type,type,
s5: $i > $i ).
thf(s4_type,type,
s4: $i ).
thf(n4_type,type,
n4: $o ).
thf(n3_type,type,
n3: $o ).
thf(s3_type,type,
s3: $i ).
thf(n1_type,type,
n1: $i > $o ).
thf(s2_type,type,
s2: $i ).
thf(s1_type,type,
s1: $i > $i ).
thf(23,negated_conjecture,
! [A: $i] :
( ~ ( n1 @ A )
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
thf(69,plain,
! [A: $i] :
( ~ ( n1 @ A )
| n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( n1 @ A )
| ( p @ A )
| ~ ( p @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
thf(56,plain,
! [B: $i,A: $i] :
( ~ ( n1 @ A )
| ( p @ A )
| ~ ( p @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(24,negated_conjecture,
( ~ n2
| ( n1 @ s2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
thf(52,plain,
( ~ n2
| ( n1 @ s2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(34,negated_conjecture,
( n7
| n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
thf(61,plain,
( n7
| n8
| n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,negated_conjecture,
( n3
| ~ n4
| ~ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
thf(60,plain,
( n3
| ~ n4
| ~ n9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,negated_conjecture,
( ~ n7
| n8
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
thf(65,plain,
( ~ n7
| n8
| ~ n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(25,negated_conjecture,
! [A: $i] :
( ~ ( p @ A )
| ~ ( p @ ( s1 @ A ) )
| ( n1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
thf(53,plain,
! [A: $i] :
( ~ ( p @ A )
| ~ ( p @ ( s1 @ A ) )
| ( n1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,negated_conjecture,
( ~ n2
| n9
| n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(41,plain,
( ~ n2
| n9
| n6
| ~ n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,negated_conjecture,
( ~ n6
| ( n5 @ s6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
thf(39,plain,
( ~ n6
| ( n5 @ s6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,negated_conjecture,
! [A: $i] :
( ( q @ A )
| ( q @ ( s5 @ A ) )
| ( n5 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
thf(66,plain,
! [A: $i] :
( ( q @ A )
| ( q @ ( s5 @ A ) )
| ( n5 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(33,negated_conjecture,
( ~ n7
| ~ n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
thf(58,plain,
( ~ n7
| ~ n8
| n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,negated_conjecture,
! [A: $i] :
( ~ ( q @ A )
| ~ ( q @ ( s5 @ A ) )
| ( n5 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
thf(51,plain,
! [A: $i] :
( ~ ( q @ A )
| ~ ( q @ ( s5 @ A ) )
| ( n5 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,negated_conjecture,
( ~ ( p @ s8 )
| n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(42,plain,
( ~ ( p @ s8 )
| n8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
( ~ n2
| n9
| ~ n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(37,plain,
( ~ n2
| n9
| ~ n6
| n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
( n2
| ~ n9
| ~ n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(46,plain,
( n2
| ~ n9
| ~ n6
| n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,negated_conjecture,
! [A: $i] :
( ~ ( q @ A )
| n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
thf(57,plain,
! [A: $i] :
( ~ ( q @ A )
| n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,negated_conjecture,
! [A: $i] :
( ~ n8
| ( p @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
thf(38,plain,
! [A: $i] :
( ~ n8
| ( p @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(36,negated_conjecture,
( n7
| ~ n8
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_36) ).
thf(70,plain,
( n7
| ~ n8
| ~ n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(12,negated_conjecture,
( ~ n7
| ( p @ s7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
thf(45,plain,
( ~ n7
| ( p @ s7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,negated_conjecture,
( n2
| n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(64,plain,
( n2
| n9
| ~ n6
| ~ n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
( ~ n2
| ~ n9
| n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(44,plain,
( ~ n2
| ~ n9
| n6
| n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( n5 @ A )
| ~ ( q @ A )
| ( q @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
thf(59,plain,
! [B: $i,A: $i] :
( ~ ( n5 @ A )
| ~ ( q @ A )
| ( q @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(30,negated_conjecture,
( n3
| n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
thf(71,plain,
( n3
| n4
| n9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(20,negated_conjecture,
! [A: $i] :
( ~ n4
| ( q @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
thf(54,plain,
! [A: $i] :
( ~ n4
| ( q @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(8,negated_conjecture,
( n2
| ~ n9
| n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(49,plain,
( n2
| ~ n9
| n6
| ~ n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,negated_conjecture,
! [A: $i] :
( ~ ( p @ A )
| n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
thf(48,plain,
! [A: $i] :
( ~ ( p @ A )
| n7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( n1 @ A )
| ~ ( p @ A )
| ( p @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
thf(63,plain,
! [B: $i,A: $i] :
( ~ ( n1 @ A )
| ~ ( p @ A )
| ( p @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,negated_conjecture,
( n2
| n9
| n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(50,plain,
( n2
| n9
| n6
| n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,negated_conjecture,
( ~ n3
| n4
| ~ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
thf(67,plain,
( ~ n3
| n4
| ~ n9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(19,negated_conjecture,
( ~ ( q @ s4 )
| n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
thf(72,plain,
( ~ ( q @ s4 )
| n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(13,negated_conjecture,
! [A: $i] :
( ~ ( n5 @ A )
| n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
thf(43,plain,
! [A: $i] :
( ~ ( n5 @ A )
| n6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(40,plain,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(29,negated_conjecture,
( ~ n3
| ~ n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
thf(55,plain,
( ~ n3
| ~ n4
| n9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( n5 @ A )
| ( q @ A )
| ~ ( q @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
thf(47,plain,
! [B: $i,A: $i] :
( ~ ( n5 @ A )
| ( q @ A )
| ~ ( q @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,negated_conjecture,
! [A: $i] :
( ( p @ A )
| ( p @ ( s1 @ A ) )
| ( n1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
thf(68,plain,
! [A: $i] :
( ( p @ A )
| ( p @ ( s1 @ A ) )
| ( n1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(22,negated_conjecture,
( ~ n3
| ( q @ s3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
thf(62,plain,
( ~ n3
| ( q @ s3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(109,plain,
$false,
inference(e,[status(thm)],[69,56,52,61,60,65,53,41,39,66,58,51,42,37,46,57,38,70,45,64,44,59,71,54,49,48,63,50,67,72,43,40,55,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % 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 : Thu May 18 19:38:34 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.99 % [INFO] Parsing done (125ms).
% 1.24/0.99 % [INFO] Running in sequential loop mode.
% 1.82/1.20 % [INFO] eprover registered as external prover.
% 1.82/1.21 % [INFO] cvc4 registered as external prover.
% 1.82/1.21 % [INFO] Scanning for conjecture ...
% 1.89/1.29 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.16/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.16/1.34 % [INFO] Problem is propositional (TPTP CNF).
% 2.16/1.34 % [INFO] Type checking passed.
% 2.16/1.34 % [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 ...
% 3.42/1.78 % External prover 'e' found a proof!
% 3.42/1.78 % [INFO] Killing All external provers ...
% 3.42/1.78 % Time passed: 1243ms (effective reasoning time: 779ms)
% 3.42/1.78 % 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)>
% 3.42/1.78 % Axioms used in derivation (0):
% 3.42/1.78 % No. of inferences in proof: 73
% 3.42/1.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1243 ms resp. 779 ms w/o parsing
% 3.48/1.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.48/1.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------