TSTP Solution File: NUM782^1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : NUM782^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 : Tue May 7 10:45:39 EDT 2024
% Result : Theorem 2.46s 1.87s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 12 unt; 4 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
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thf(rat_type,type,
rat: $tType ).
thf(x0_type,type,
x0: rat ).
thf(y0_type,type,
y0: rat ).
thf(z0_type,type,
z0: rat ).
thf(4,axiom,
y0 = z0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',j) ).
thf(9,plain,
y0 = z0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,plain,
z0 = y0,
inference(lifteq,[status(thm)],[9]) ).
thf(3,axiom,
x0 = y0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
thf(7,plain,
x0 = y0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
y0 = x0,
inference(lifteq,[status(thm)],[7]) ).
thf(11,plain,
z0 = x0,
inference(rewrite,[status(thm)],[10,8]) ).
thf(1,conjecture,
x0 = z0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz80) ).
thf(2,negated_conjecture,
x0 != z0,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
x0 != z0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
z0 != x0,
inference(lifteq,[status(thm)],[5]) ).
thf(12,plain,
$false,
inference(simplifyReflect,[status(thm)],[11,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM782^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 6 19:33:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.93/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.09 % [INFO] Parsing done (162ms).
% 1.28/1.10 % [INFO] Running in sequential loop mode.
% 1.69/1.45 % [INFO] nitpick registered as external prover.
% 1.69/1.46 % [INFO] Scanning for conjecture ...
% 1.97/1.52 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.99/1.55 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.99/1.56 % [INFO] Problem is higher-order (TPTP THF).
% 1.99/1.57 % [INFO] Type checking passed.
% 1.99/1.57 % [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 ...
% 2.46/1.86 % [INFO] Killing All external provers ...
% 2.46/1.86 % Time passed: 1382ms (effective reasoning time: 755ms)
% 2.46/1.86 % 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)>
% 2.46/1.87 % Axioms used in derivation (2): j, i
% 2.46/1.87 % No. of inferences in proof: 12
% 2.46/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1382 ms resp. 755 ms w/o parsing
% 2.46/1.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.46/1.89 % [INFO] Killing All external provers ...
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