TSTP Solution File: GEO498+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 11:11:03 EDT 2023
% Result : Theorem 3.18s 1.68s
% Output : Refutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 20 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 36 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 114 ( 20 ~; 18 |; 0 &; 76 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_type,type,
s: $i > $i > $i ).
thf(s_m_type,type,
s_m: $i > $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( s @ A @ B )
!= C )
| ( ( s @ A @ D )
!= C )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_8) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( s @ A @ B )
!= C )
| ( ( s @ A @ D )
!= C )
| ( B = D ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( s @ A @ B )
!= C )
| ( ( s @ A @ D )
!= C )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_m @ A @ B @ C )
| ~ ( s_m @ A @ B @ D )
| ( C = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_4b) ).
thf(25,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_m @ A @ B @ C )
| ~ ( s_m @ A @ B @ D )
| ( C = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_m @ A @ B @ C )
| ( s_m @ C @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_2) ).
thf(29,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_m @ A @ B @ C )
| ( s_m @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( s_m @ A @ B @ A )
| ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3a) ).
thf(18,plain,
! [A: $i,B: $i] :
( ~ ( s_m @ A @ B @ A )
| ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: $i,B: $i] : ( s_m @ A @ B @ ( s @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_4a) ).
thf(31,plain,
! [A: $i,B: $i] : ( s_m @ A @ B @ ( s @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( s @ A @ ( s @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
thf(36,plain,
! [A: $i,B: $i] :
( ( s @ A @ ( s @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( s_m @ A @ B @ A )
| ( B != A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3b) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( s_m @ A @ B @ A )
| ( B != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_m @ A @ B @ C )
| ( C
= ( s @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_6) ).
thf(33,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_m @ A @ B @ C )
| ( C
= ( s @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(39,plain,
$false,
inference(cvc4,[status(thm)],[10,25,29,18,31,36,21,33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n003.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 : Fri May 19 04:33:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.52/1.04 % [INFO] Parsing done (191ms).
% 1.52/1.04 % [INFO] Running in sequential loop mode.
% 2.16/1.25 % [INFO] eprover registered as external prover.
% 2.16/1.25 % [INFO] cvc4 registered as external prover.
% 2.16/1.25 % [INFO] Scanning for conjecture ...
% 2.16/1.33 % [INFO] Found a conjecture and 109 axioms. Running axiom selection ...
% 2.44/1.36 % [INFO] Axiom selection finished. Selected 7 axioms (removed 102 axioms).
% 2.44/1.37 % [INFO] Problem is first-order (TPTP FOF).
% 2.44/1.38 % [INFO] Type checking passed.
% 2.44/1.38 % [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 ...
% 3.18/1.67 % External prover 'cvc4' found a proof!
% 3.18/1.68 % [INFO] Killing All external provers ...
% 3.18/1.68 % Time passed: 1159ms (effective reasoning time: 630ms)
% 3.18/1.68 % 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)>
% 3.18/1.68 % Axioms used in derivation (7): aSatz7_2, aSatz7_3b, aSatz7_7, aSatz7_4a, aSatz7_6, aSatz7_4b, aSatz7_3a
% 3.18/1.68 % No. of inferences in proof: 18
% 3.18/1.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1159 ms resp. 630 ms w/o parsing
% 3.18/1.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.18/1.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------