TSTP Solution File: SYN353-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 12:28:28 EDT 2023
% Result : Unsatisfiable 3.42s 1.82s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of formulae : 38 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 95 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 538 ( 46 ~; 60 |; 0 &; 432 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 102 ( 0 ^; 102 !; 0 ?; 102 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(z_type,type,
z: $i > $i > $i > $i ).
thf(5,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ B @ C @ A )
| ( f @ B @ A @ ( z @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ B @ C @ A )
| ( f @ B @ A @ ( z @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ C @ A @ B )
| ~ ( f @ ( z @ C @ A @ B ) @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ C @ A @ B )
| ~ ( f @ ( z @ C @ A @ B ) @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(13,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ ( z @ A @ B @ C ) @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ ( z @ A @ B @ C ) @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ B @ C @ A )
| ~ ( f @ C @ B @ ( z @ B @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ B @ C @ A )
| ~ ( f @ C @ B @ ( z @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ C @ A @ B )
| ~ ( f @ C @ B @ ( z @ B @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ C @ A @ B )
| ~ ( f @ C @ B @ ( z @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ B @ C @ A )
| ~ ( f @ C @ ( z @ C @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ B @ C @ A )
| ~ ( f @ C @ ( z @ C @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ a @ a @ ( z @ A @ B @ C ) )
| ( f @ B @ C @ A )
| ( f @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(21,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ a @ a @ ( z @ A @ B @ C ) )
| ( f @ B @ C @ A )
| ( f @ C @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ C @ B @ ( z @ B @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ C @ B @ ( z @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ C @ ( z @ C @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(32,plain,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ C @ ( z @ C @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ ( z @ C @ A @ B ) @ ( z @ C @ A @ B ) @ ( z @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ ( z @ C @ A @ B ) @ ( z @ C @ A @ B ) @ ( z @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ C @ A @ B )
| ~ ( f @ C @ ( z @ C @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ( f @ C @ A @ B )
| ~ ( f @ C @ ( z @ C @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(12,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ C @ A @ B )
| ( f @ ( z @ B @ C @ A ) @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ C @ A @ B )
| ( f @ ( z @ B @ C @ A ) @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ B @ C @ A )
| ~ ( f @ C @ A @ B )
| ~ ( f @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ B @ C @ A )
| ~ ( f @ C @ A @ B )
| ~ ( f @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) @ ( z @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(9,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ C @ A @ B )
| ( f @ A @ ( z @ A @ B @ C ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( f @ A @ B @ C )
| ~ ( f @ C @ A @ B )
| ( f @ A @ ( z @ A @ B @ C ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ ( z @ B @ C @ A ) @ ( z @ B @ C @ A ) @ ( z @ B @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ ( z @ B @ C @ A ) @ ( z @ B @ C @ A ) @ ( z @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(10,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ B @ C @ A )
| ~ ( f @ ( z @ B @ C @ A ) @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(19,plain,
! [C: $i,B: $i,A: $i] :
( ( f @ A @ B @ C )
| ( f @ B @ C @ A )
| ~ ( f @ ( z @ B @ C @ A ) @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(55,plain,
$false,
inference(e,[status(thm)],[18,31,24,25,20,29,28,21,33,32,34,22,27,26,23,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 19:43:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.02 % [INFO] Parsing done (137ms).
% 1.30/1.03 % [INFO] Running in sequential loop mode.
% 1.75/1.23 % [INFO] eprover registered as external prover.
% 1.75/1.23 % [INFO] cvc4 registered as external prover.
% 1.75/1.24 % [INFO] Scanning for conjecture ...
% 2.01/1.31 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.01/1.36 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.01/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.36 % [INFO] Type checking passed.
% 2.01/1.37 % [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 ...
% 3.42/1.81 % External prover 'e' found a proof!
% 3.42/1.81 % [INFO] Killing All external provers ...
% 3.42/1.82 % Time passed: 1296ms (effective reasoning time: 786ms)
% 3.42/1.82 % 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)>
% 3.42/1.82 % Axioms used in derivation (0):
% 3.42/1.82 % No. of inferences in proof: 35
% 3.42/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1296 ms resp. 786 ms w/o parsing
% 3.42/1.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.42/1.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------