TSTP Solution File: AGT036^1 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : AGT036^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 07:25:33 EDT 2024
% Result : Theorem 4.61s 2.07s
% Output : Refutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 74
% Syntax : Number of formulae : 116 ( 16 unt; 23 typ; 11 def)
% Number of atoms : 315 ( 11 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 591 ( 41 ~; 35 |; 14 &; 479 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 89 ( 89 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 9 con; 0-3 aty)
% Number of variables : 158 ( 33 ^ 121 !; 4 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: $i > $o,B: $i > $o] : ( mnot @ ( mor @ ( mnot @ A ) @ ( mnot @ B ) ) ) ) ) ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mforall_ind_def,definition,
( mforall_ind
= ( ^ [A: mu > $i > $o,B: $i] :
! [C: mu] : ( A @ C @ B ) ) ) ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: $i > $i > $o,B: $i > $o,C: $i] :
! [D: $i] :
( ~ ( A @ C @ D )
| ( B @ D ) ) ) ) ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mdia_def,definition,
( mdia
= ( ^ [A: $i > $i > $o,B: $i > $o] : ( mnot @ ( mbox @ A @ ( mnot @ B ) ) ) ) ) ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(msymmetric_def,definition,
( msymmetric
= ( ^ [A: $i > $i > $o] :
! [B: $i,C: $i] :
( ( A @ B @ C )
=> ( A @ C @ B ) ) ) ) ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(mserial_def,definition,
( mserial
= ( ^ [A: $i > $i > $o] :
! [B: $i] :
? [C: $i] : ( A @ B @ C ) ) ) ).
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(meuclidean_def,definition,
( meuclidean
= ( ^ [A: $i > $i > $o] :
! [B: $i,C: $i,D: $i] :
( ( ( A @ B @ C )
& ( A @ B @ D ) )
=> ( A @ C @ D ) ) ) ) ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(a1_type,type,
a1: $i > $i > $o ).
thf(a2_type,type,
a2: $i > $i > $o ).
thf(a3_type,type,
a3: $i > $i > $o ).
thf(jan_type,type,
jan: mu ).
thf(piotr_type,type,
piotr: mu ).
thf(cola_type,type,
cola: mu ).
thf(pepsi_type,type,
pepsi: mu ).
thf(beer_type,type,
beer: mu ).
thf(likes_type,type,
likes: mu > mu > $i > $o ).
thf(very_much_likes_type,type,
very_much_likes: mu > mu > $i > $o ).
thf(possibly_likes_type,type,
possibly_likes: mu > mu > $i > $o ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(subrel_def,definition,
( subrel
= ( ^ [A: $i > $i > $o,B: $i > $i > $o] :
! [C: $i,D: $i] :
( ( A @ C @ D )
=> ( B @ C @ D ) ) ) ) ).
thf(cond4s_type,type,
cond4s: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(cond4s_def,definition,
( cond4s
= ( ^ [A: $i > $i > $o,B: $i > $i > $o] :
! [C: $i,D: $i,E: $i] :
( ( ( A @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) ) ) ) ).
thf(36,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ A @ cola ) ) @ ( likes @ A @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_4) ).
thf(115,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a1 @ A @ C )
| ! [D: $i] :
( ~ ( a1 @ C @ D )
| ~ ( likes @ B @ cola @ D ) )
| ( likes @ B @ pepsi @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(9,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(56,plain,
! [A: $i,B: $i] :
( ( a1 @ A @ B )
=> ( a1 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
mvalid @ ( likes @ piotr @ pepsi ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( mvalid @ ( likes @ piotr @ pepsi ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(42,plain,
~ ! [A: $i] : ( likes @ piotr @ pepsi @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a1) ).
thf(52,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a1 @ B @ C ) )
=> ( a1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,axiom,
cond4s @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a3) ).
thf(84,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a3 @ B @ C ) )
=> ( a3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(16,axiom,
mserial @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2) ).
thf(70,plain,
! [A: $i] :
? [B: $i] : ( a2 @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(28,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ A @ B ) ) @ ( likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(97,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a3 @ A @ D )
| ~ ( very_much_likes @ B @ C @ D ) )
| ( likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(13,axiom,
msymmetric @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a2) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( a2 @ A @ B )
=> ( a2 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(3,axiom,
cond4s @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a2) ).
thf(44,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a2 @ B @ C ) )
=> ( a2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(21,axiom,
cond4s @ a3 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a3) ).
thf(80,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a3 @ A @ B )
& ( a3 @ B @ C ) )
=> ( a3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(6,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a1) ).
thf(50,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a1 @ B @ C ) )
=> ( a1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
meuclidean @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a2) ).
thf(72,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a2 @ A @ C ) )
=> ( a2 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(29,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(99,plain,
! [A: $i] :
~ ! [B: $i] :
( ~ ( a1 @ A @ B )
| ~ ( likes @ piotr @ beer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(34,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(111,plain,
! [A: $i,B: $i] :
( ~ ( a2 @ A @ B )
| ( likes @ jan @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(4,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a2) ).
thf(46,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a2 @ B @ C ) )
=> ( a2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,axiom,
meuclidean @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a1) ).
thf(78,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a1 @ A @ C ) )
=> ( a1 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(25,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_2) ).
thf(89,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ cola @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(18,axiom,
subrel @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a3) ).
thf(74,plain,
! [A: $i,B: $i] :
( ( a1 @ A @ B )
=> ( a3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(11,axiom,
cond4s @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a3) ).
thf(60,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a3 @ B @ C ) )
=> ( a3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(37,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(117,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(33,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ A @ pepsi ) @ ( likes @ A @ cola ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(109,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a2 @ A @ C )
| ~ ( likes @ B @ pepsi @ C )
| ( likes @ B @ cola @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(39,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(124,plain,
! [A: $i,B: $i] :
( ~ ( a3 @ A @ B )
| ( likes @ jan @ cola @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(41,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ A @ B ) ) @ ( possibly_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4) ).
thf(128,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a2 @ A @ D )
| ~ ( likes @ B @ C @ D ) )
| ( possibly_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(31,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(105,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ beer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(8,axiom,
msymmetric @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3) ).
thf(54,plain,
! [A: $i,B: $i] :
( ( a3 @ A @ B )
=> ( a3 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(24,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ A @ B ) ) @ ( very_much_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(86,plain,
! [A: $i,B: mu,C: mu] :
( ~ ! [D: $i] :
( ~ ( a3 @ A @ D )
| ( very_much_likes @ B @ C @ D ) )
| ( very_much_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(35,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ A @ B ) ) @ ( possibly_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_5) ).
thf(113,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a3 @ A @ D )
| ~ ( likes @ B @ C @ D ) )
| ( possibly_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(19,axiom,
meuclidean @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a3) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a3 @ A @ B )
& ( a3 @ A @ C ) )
=> ( a3 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(30,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ A @ B ) ) @ ( possibly_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_3) ).
thf(103,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a1 @ A @ D )
| ~ ( likes @ B @ C @ D ) )
| ( possibly_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(26,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(91,plain,
! [A: $i] :
~ ! [B: $i] :
( ~ ( a3 @ A @ B )
| ~ ( likes @ piotr @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(14,axiom,
subrel @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a2_a3) ).
thf(66,plain,
! [A: $i,B: $i] :
( ( a2 @ A @ B )
=> ( a3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
mserial @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a3) ).
thf(48,plain,
! [A: $i] :
? [B: $i] : ( a3 @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(27,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(95,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ jan @ cola @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(22,axiom,
subrel @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a2) ).
thf(82,plain,
! [A: $i,B: $i] :
( ( a1 @ A @ B )
=> ( a2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(38,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ A @ B ) @ ( mand @ ( mbox @ a1 @ ( likes @ A @ B ) ) @ ( mbox @ a2 @ ( likes @ A @ B ) ) ) ) @ ( very_much_likes @ A @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(119,plain,
! [A: $i,B: mu,C: mu,D: $i] :
( ~ ( a3 @ A @ D )
| ~ ( likes @ B @ C @ D )
| ~ ! [E: $i] :
( ~ ( a1 @ D @ E )
| ( likes @ B @ C @ E ) )
| ~ ! [E: $i] :
( ~ ( a2 @ D @ E )
| ( likes @ B @ C @ E ) )
| ( very_much_likes @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(10,axiom,
mserial @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(58,plain,
! [A: $i] :
? [B: $i] : ( a1 @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(32,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ A @ pepsi ) ) @ ( likes @ A @ cola ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_3) ).
thf(107,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a1 @ A @ C )
| ! [D: $i] :
( ~ ( a1 @ C @ D )
| ~ ( likes @ B @ pepsi @ D ) )
| ( likes @ B @ cola @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(40,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ A @ cola ) @ ( likes @ A @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_5) ).
thf(126,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a2 @ A @ C )
| ~ ( likes @ B @ cola @ C )
| ( likes @ B @ pepsi @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(15,axiom,
cond4s @ a2 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a1) ).
thf(68,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a1 @ B @ C ) )
=> ( a1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a2) ).
thf(62,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a2 @ B @ C ) )
=> ( a2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(130,plain,
$false,
inference(e,[status(thm)],[115,56,42,52,84,70,97,64,44,80,50,72,99,111,46,78,89,74,60,117,109,124,128,105,54,86,113,76,103,91,66,48,95,82,119,58,107,126,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT036^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n017.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 : Mon May 6 14:51:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.96/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.41/1.03 % [INFO] Parsing done (185ms).
% 1.41/1.04 % [INFO] Running in sequential loop mode.
% 2.01/1.26 % [INFO] eprover registered as external prover.
% 2.01/1.26 % [INFO] cvc4 registered as external prover.
% 2.01/1.27 % [INFO] Scanning for conjecture ...
% 2.38/1.40 % [INFO] Found a conjecture and 39 axioms. Running axiom selection ...
% 2.68/1.47 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 2.68/1.49 % [INFO] Problem is higher-order (TPTP THF).
% 2.68/1.49 % [INFO] Type checking passed.
% 2.68/1.49 % [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 ...
% 4.61/2.07 % External prover 'e' found a proof!
% 4.61/2.07 % [INFO] Killing All external provers ...
% 4.61/2.07 % Time passed: 1558ms (effective reasoning time: 1024ms)
% 4.61/2.07 % 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)>
% 4.61/2.07 % Axioms used in derivation (39): axioms_5_a3, axioms_B_a1, axiom_a1_4, axiom_a3_3, axiom_a2_2, axioms_5_a2, axiom_user_communication_4, axioms_5_a1, axioms_D_a1, axiom_a1_2, axiom_user_communication_2, axiom_I_a1_a3, axiom_a1_3, axiom_a3_2, axiom_user_communication_3, axioms_Is_a1_a2, axioms_Is_a2_a1, axioms_Is_a3_a2, axioms_Is_a3_a1, axioms_D_a3, axiom_I_a2_a3, axiom_a3_4, axiom_I_a1_a2, axiom_a1_1, axioms_Is_a1_a1, axiom_a2_3, axiom_user_communication_1, axioms_B_a3, axiom_a2_4, axioms_Is_a1_a3, axioms_Is_a2_a2, axiom_user_communication_5, axiom_a3_1, axioms_B_a2, axioms_Is_a3_a3, axioms_Is_a2_a3, axiom_a2_5, axioms_D_a2, axiom_a2_1
% 4.61/2.07 % No. of inferences in proof: 82
% 4.61/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1558 ms resp. 1024 ms w/o parsing
% 4.81/2.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.81/2.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------