TSTP Solution File: NUM427+3 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.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 11:40:32 EDT 2023
% Result : Theorem 4.03s 1.96s
% Output : Refutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 37
% Syntax : Number of formulae : 64 ( 8 unt; 12 typ; 0 def)
% Number of atoms : 175 ( 59 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 509 ( 11 ~; 8 |; 72 &; 375 @)
% ( 2 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 73 ( 0 ^; 65 !; 8 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(xq_type,type,
xq: $i ).
thf(xb_type,type,
xb: $i ).
thf(xa_type,type,
xa: $i ).
thf(sz10_type,type,
sz10: $i ).
thf(xn_type,type,
xn: $i ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( aInteger0 @ ( sdtasdt0 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( aInteger0 @ ( sdtasdt0 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> ( aInteger0 @ ( smndt0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
thf(52,plain,
! [A: $i] :
( ( aInteger0 @ A )
=> ( aInteger0 @ ( smndt0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( ( sdtasdt0 @ A @ B )
= ( sdtasdt0 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
thf(84,plain,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( ( sdtasdt0 @ A @ B )
= ( sdtasdt0 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(21,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtasdt0 @ A @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
thf(102,plain,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtasdt0 @ A @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( aInteger0 @ ( sdtpldt0 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
thf(70,plain,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( aInteger0 @ ( sdtpldt0 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtpldt0 @ A @ ( smndt0 @ A ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ A ) @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
thf(97,plain,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtpldt0 @ A @ ( smndt0 @ A ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ A ) @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(23,axiom,
( ( aInteger0 @ xa )
& ( aInteger0 @ xb )
& ( aInteger0 @ xq )
& ( xq != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__704) ).
thf(109,plain,
( ( aInteger0 @ xa )
& ( aInteger0 @ xb )
& ( aInteger0 @ xq )
& ( xq != sz00 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C ) )
=> ( ( ( sdtasdt0 @ A @ ( sdtpldt0 @ B @ C ) )
= ( sdtpldt0 @ ( sdtasdt0 @ A @ B ) @ ( sdtasdt0 @ A @ C ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ A @ B ) @ C )
= ( sdtpldt0 @ ( sdtasdt0 @ A @ C ) @ ( sdtasdt0 @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
thf(54,plain,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C ) )
=> ( ( ( sdtasdt0 @ A @ ( sdtpldt0 @ B @ C ) )
= ( sdtpldt0 @ ( sdtasdt0 @ A @ B ) @ ( sdtasdt0 @ A @ C ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ A @ B ) @ C )
= ( sdtpldt0 @ ( sdtasdt0 @ A @ C ) @ ( sdtasdt0 @ B @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntegers) ).
thf(39,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(26,axiom,
aInteger0 @ sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
thf(123,plain,
aInteger0 @ sz00,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C ) )
=> ( ( sdtpldt0 @ A @ ( sdtpldt0 @ B @ C ) )
= ( sdtpldt0 @ ( sdtpldt0 @ A @ B ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
thf(72,plain,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C ) )
=> ( ( sdtpldt0 @ A @ ( sdtpldt0 @ B @ C ) )
= ( sdtpldt0 @ ( sdtpldt0 @ A @ B ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( ( ( sdtasdt0 @ A @ B )
= sz00 )
=> ( ( A = sz00 )
| ( B = sz00 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
thf(87,plain,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( ( ( sdtasdt0 @ A @ B )
= sz00 )
=> ( ( A = sz00 )
| ( B = sz00 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> ! [B: $i] :
( ( aDivisorOf0 @ B @ A )
<=> ( ( aInteger0 @ B )
& ( B != sz00 )
& ? [C: $i] :
( ( aInteger0 @ C )
& ( ( sdtasdt0 @ B @ C )
= A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
thf(40,plain,
! [A: $i] :
( ( aInteger0 @ A )
=> ! [B: $i] :
( ( ( aDivisorOf0 @ B @ A )
=> ( ( aInteger0 @ B )
& ( B != sz00 )
& ? [C: $i] :
( ( aInteger0 @ C )
& ( ( sdtasdt0 @ B @ C )
= A ) ) ) )
& ( ( ( aInteger0 @ B )
& ( B != sz00 )
& ? [C: $i] :
( ( aInteger0 @ C )
& ( ( sdtasdt0 @ B @ C )
= A ) ) )
=> ( aDivisorOf0 @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( ( sdtpldt0 @ A @ B )
= ( sdtpldt0 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B ) )
=> ( ( sdtpldt0 @ A @ B )
= ( sdtpldt0 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(22,axiom,
( ( sdtasdt0 @ xq @ ( smndt0 @ xn ) )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__767) ).
thf(107,plain,
( ( sdtasdt0 @ xq @ ( smndt0 @ xn ) )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(24,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtasdt0 @ A @ sz10 )
= A )
& ( A
= ( sdtasdt0 @ sz10 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
thf(115,plain,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtasdt0 @ A @ sz10 )
= A )
& ( A
= ( sdtasdt0 @ sz10 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( B != sz00 ) )
=> ( sdteqdtlpzmzozddtrp0 @ A @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModRef) ).
thf(120,plain,
! [A: $i,B: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( B != sz00 ) )
=> ( sdteqdtlpzmzozddtrp0 @ A @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(19,axiom,
( ( aInteger0 @ xn )
& ( ( sdtasdt0 @ xq @ xn )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__747) ).
thf(93,plain,
( ( aInteger0 @ xn )
& ( ( sdtasdt0 @ xq @ xn )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtpldt0 @ A @ sz00 )
= A )
& ( A
= ( sdtpldt0 @ sz00 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
thf(78,plain,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtpldt0 @ A @ sz00 )
= A )
& ( A
= ( sdtpldt0 @ sz00 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(3,axiom,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ A )
= ( smndt0 @ A ) )
& ( ( smndt0 @ A )
= ( sdtasdt0 @ A @ ( smndt0 @ sz10 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
thf(32,plain,
! [A: $i] :
( ( aInteger0 @ A )
=> ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ A )
= ( smndt0 @ A ) )
& ( ( smndt0 @ A )
= ( sdtasdt0 @ A @ ( smndt0 @ sz10 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,axiom,
( ? [A: $i] :
( ( aInteger0 @ A )
& ( ( sdtasdt0 @ xq @ A )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__724) ).
thf(64,plain,
( ? [A: $i] :
( ( aInteger0 @ A )
& ( ( sdtasdt0 @ xq @ A )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xa @ xb @ xq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C )
& ( C != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ A @ B @ C )
<=> ( aDivisorOf0 @ C @ ( sdtpldt0 @ A @ ( smndt0 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
thf(59,plain,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C )
& ( C != sz00 ) )
=> ( ( ( sdteqdtlpzmzozddtrp0 @ A @ B @ C )
=> ( aDivisorOf0 @ C @ ( sdtpldt0 @ A @ ( smndt0 @ B ) ) ) )
& ( ( aDivisorOf0 @ C @ ( sdtpldt0 @ A @ ( smndt0 @ B ) ) )
=> ( sdteqdtlpzmzozddtrp0 @ A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
( ? [A: $i] :
( ( aInteger0 @ A )
& ( ( sdtasdt0 @ xq @ A )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ( sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ( ? [A: $i] :
( ( aInteger0 @ A )
& ( ( sdtasdt0 @ xq @ A )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ( sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(27,plain,
~ ( ? [A: $i] :
( ( aInteger0 @ A )
& ( ( sdtasdt0 @ xq @ A )
= ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xb @ ( smndt0 @ xa ) ) )
| ( sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C ) )
=> ( ( sdtasdt0 @ A @ ( sdtasdt0 @ B @ C ) )
= ( sdtasdt0 @ ( sdtasdt0 @ A @ B ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
thf(90,plain,
! [A: $i,B: $i,C: $i] :
( ( ( aInteger0 @ A )
& ( aInteger0 @ B )
& ( aInteger0 @ C ) )
=> ( ( sdtasdt0 @ A @ ( sdtasdt0 @ B @ C ) )
= ( sdtasdt0 @ ( sdtasdt0 @ A @ B ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(15,axiom,
aInteger0 @ sz10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
thf(83,plain,
aInteger0 @ sz10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(155,plain,
$false,
inference(cvc4,[status(thm)],[37,52,84,102,70,97,109,54,39,123,72,87,40,75,107,115,120,93,78,32,64,59,27,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 18:07:20 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.91/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (132ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.71/1.16 % [INFO] eprover registered as external prover.
% 1.71/1.17 % [INFO] cvc4 registered as external prover.
% 1.71/1.17 % [INFO] Scanning for conjecture ...
% 1.71/1.22 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.71/1.23 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.92/1.24 % [INFO] Found a conjecture and 24 axioms. Running axiom selection ...
% 2.04/1.29 % [INFO] Axiom selection finished. Selected 24 axioms (removed 0 axioms).
% 2.04/1.30 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.04/1.30 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.04/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 2.04/1.32 % [INFO] Type checking passed.
% 2.04/1.33 % [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 ...
% 4.03/1.96 % External prover 'cvc4' found a proof!
% 4.03/1.96 % [INFO] Killing All external provers ...
% 4.03/1.96 % Time passed: 1452ms (effective reasoning time: 989ms)
% 4.03/1.96 % 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)>
% 4.03/1.96 % Axioms used in derivation (24): mAddComm, m__724, mAddNeg, mAddZero, mAddAsso, mIntMult, mDivisor, mIntNeg, mMulMinOne, m__747, mMulComm, mMulZero, mEquMod, mZeroDiv, mDistrib, mMulOne, m__767, mMulAsso, mIntPlus, mEquModRef, mIntegers, m__704, mIntOne, mIntZero
% 4.03/1.96 % No. of inferences in proof: 52
% 4.03/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1452 ms resp. 989 ms w/o parsing
% 4.33/2.00 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.33/2.00 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------