TSTP Solution File: SYN075-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 2.65s 1.61s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 16
% Syntax : Number of formulae : 27 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 63 ( 34 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 212 ( 34 ~; 42 |; 0 &; 136 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(g_type,type,
g: $i > $i ).
thf(h_type,type,
h: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( A != a )
| ( B != b )
| ( big_f @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( A != a )
| ( B != b )
| ( big_f @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f @ B ) )
| ( A
= ( g @ B ) )
| ( big_f @ ( h @ B @ C ) @ ( f @ B ) )
| ~ ( big_f @ ( h @ B @ C ) @ ( f @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_f @ A @ ( f @ B ) )
| ( A
= ( g @ B ) )
| ( big_f @ ( h @ B @ C ) @ ( f @ B ) )
| ~ ( big_f @ ( h @ B @ C ) @ ( f @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ( ( f @ A )
!= A )
| ( big_f @ ( h @ A @ B ) @ ( f @ A ) )
| ( ( h @ A @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( ( f @ A )
!= A )
| ( big_f @ ( h @ A @ B ) @ ( f @ A ) )
| ( ( h @ A @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( g @ B ) )
| ( big_f @ A @ ( f @ B ) )
| ( big_f @ ( h @ B @ C ) @ ( f @ B ) )
| ( ( h @ B @ C )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( g @ B ) )
| ( big_f @ A @ ( f @ B ) )
| ( big_f @ ( h @ B @ C ) @ ( f @ B ) )
| ( ( h @ B @ C )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( big_f @ A @ ( f @ B ) )
| ( A
!= ( g @ B ) )
| ( ( f @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(12,plain,
! [B: $i,A: $i] :
( ~ ( big_f @ A @ ( f @ B ) )
| ( A
!= ( g @ B ) )
| ( ( f @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B = b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( B = b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( A
!= ( g @ B ) )
| ( big_f @ A @ ( f @ B ) )
| ( ( f @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( A
!= ( g @ B ) )
| ( big_f @ A @ ( f @ B ) )
| ( ( f @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( g @ B ) )
| ( big_f @ A @ ( f @ B ) )
| ( ( h @ B @ C )
!= C )
| ~ ( big_f @ ( h @ B @ C ) @ ( f @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( g @ B ) )
| ( big_f @ A @ ( f @ B ) )
| ( ( h @ B @ C )
!= C )
| ~ ( big_f @ ( h @ B @ C ) @ ( f @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( A = a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(36,plain,
! [B: $i,A: $i] :
( ~ ( big_f @ A @ B )
| ( A = a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ( ( f @ A )
!= A )
| ( ( h @ A @ B )
!= B )
| ~ ( big_f @ ( h @ A @ B ) @ ( f @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( ( f @ A )
!= A )
| ( ( h @ A @ B )
!= B )
| ~ ( big_f @ ( h @ A @ B ) @ ( f @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(46,plain,
$false,
inference(e,[status(thm)],[42,14,13,17,12,39,16,11,36,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:44:03 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.95 % [INFO] Parsing done (119ms).
% 1.22/0.96 % [INFO] Running in sequential loop mode.
% 1.48/1.15 % [INFO] eprover registered as external prover.
% 1.48/1.15 % [INFO] cvc4 registered as external prover.
% 1.48/1.15 % [INFO] Scanning for conjecture ...
% 1.81/1.22 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.90/1.26 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.90/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.90/1.26 % [INFO] Type checking passed.
% 1.90/1.27 % [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 ...
% 2.65/1.61 % External prover 'e' found a proof!
% 2.65/1.61 % [INFO] Killing All external provers ...
% 2.65/1.61 % Time passed: 1097ms (effective reasoning time: 645ms)
% 2.65/1.61 % 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)>
% 2.65/1.61 % Axioms used in derivation (3): clause_3, clause_2, clause_1
% 2.65/1.61 % No. of inferences in proof: 21
% 2.65/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1097 ms resp. 645 ms w/o parsing
% 2.92/1.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.92/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------