TSTP Solution File: RNG128-1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.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 : 600s
% DateTime : Mon Jul 18 20:34:43 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 53 ( 47 unt; 6 typ; 0 def)
% Number of atoms : 121 ( 76 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 214 ( 6 ~; 0 |; 0 &; 208 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 0 ^ 68 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_add,type,
add: $i > $i > $i ).
thf(tp_mult,type,
mult: $i > $i > $i ).
thf(tp_unit,type,
unit: $i ).
thf(tp_x0,type,
x0: $i ).
thf(tp_x1,type,
x1: $i ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [A: $i] :
( ( add @ unit @ ( add @ A @ ( mult @ A @ A ) ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_006) ).
thf(2,axiom,
! [A: $i] :
( ( mult @ A @ unit )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_005) ).
thf(3,axiom,
! [A: $i] :
( ( add @ zero @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_004) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( mult @ A @ ( add @ B @ C ) )
= ( add @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_003) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( mult @ A @ B )
= ( mult @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_002) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( add @ A @ B )
= ( add @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_001) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( add @ A @ ( add @ B @ C ) )
= ( add @ ( add @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
thf(8,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(9,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,negated_conjecture,
( add @ x0 @ x1 )
!= ( mult @ x0 @ x1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
thf(11,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [A: $i] :
( ( add @ unit @ ( add @ A @ ( mult @ A @ A ) ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [A: $i] :
( ( mult @ A @ unit )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ! [A: $i] :
( ( add @ zero @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( mult @ A @ ( add @ B @ C ) )
= ( add @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [A: $i,B: $i] :
( ( mult @ A @ B )
= ( mult @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ! [A: $i,B: $i] :
( ( add @ A @ B )
= ( add @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( add @ A @ ( add @ B @ C ) )
= ( add @ ( add @ A @ B ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ( ( add @ x0 @ x1 )
!= ( mult @ x0 @ x1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(20,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( ( ( add @ x0 @ x1 )
!= ( mult @ x0 @ x1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(22,plain,
( ( ( ( add @ x0 @ x1 )
!= ( mult @ x0 @ x1 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( add @ A @ ( add @ B @ C ) )
= ( add @ ( add @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
( ( add @ A @ B )
= ( add @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ( mult @ A @ B )
= ( mult @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(26,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( mult @ A @ ( add @ B @ C ) )
= ( add @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(27,plain,
( ( ! [A: $i] :
( ( add @ zero @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(28,plain,
( ( ! [A: $i] :
( ( mult @ A @ unit )
= A ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(29,plain,
( ( ! [A: $i] :
( ( add @ unit @ ( add @ A @ ( mult @ A @ A ) ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(30,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(31,plain,
( ( ( add @ x0 @ x1 )
= ( mult @ x0 @ x1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(32,plain,
! [SV1: $i] :
( ( ! [SY13: $i,SY14: $i] :
( ( add @ SV1 @ ( add @ SY13 @ SY14 ) )
= ( add @ ( add @ SV1 @ SY13 ) @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(33,plain,
! [SV2: $i] :
( ( ! [SY15: $i] :
( ( add @ SV2 @ SY15 )
= ( add @ SY15 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(34,plain,
! [SV3: $i] :
( ( ! [SY16: $i] :
( ( mult @ SV3 @ SY16 )
= ( mult @ SY16 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(35,plain,
! [SV4: $i] :
( ( ! [SY17: $i,SY18: $i] :
( ( mult @ SV4 @ ( add @ SY17 @ SY18 ) )
= ( add @ ( mult @ SV4 @ SY17 ) @ ( mult @ SV4 @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(36,plain,
! [SV5: $i] :
( ( ( add @ zero @ SV5 )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(37,plain,
! [SV6: $i] :
( ( ( mult @ SV6 @ unit )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(38,plain,
! [SV7: $i] :
( ( ( add @ unit @ ( add @ SV7 @ ( mult @ SV7 @ SV7 ) ) )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(39,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(40,plain,
! [SV8: $i,SV1: $i] :
( ( ! [SY19: $i] :
( ( add @ SV1 @ ( add @ SV8 @ SY19 ) )
= ( add @ ( add @ SV1 @ SV8 ) @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV9: $i,SV2: $i] :
( ( ( add @ SV2 @ SV9 )
= ( add @ SV9 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(42,plain,
! [SV10: $i,SV3: $i] :
( ( ( mult @ SV3 @ SV10 )
= ( mult @ SV10 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV11: $i,SV4: $i] :
( ( ! [SY20: $i] :
( ( mult @ SV4 @ ( add @ SV11 @ SY20 ) )
= ( add @ ( mult @ SV4 @ SV11 ) @ ( mult @ SV4 @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV12: $i,SV8: $i,SV1: $i] :
( ( ( add @ SV1 @ ( add @ SV8 @ SV12 ) )
= ( add @ ( add @ SV1 @ SV8 ) @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV13: $i,SV11: $i,SV4: $i] :
( ( ( mult @ SV4 @ ( add @ SV11 @ SV13 ) )
= ( add @ ( mult @ SV4 @ SV11 ) @ ( mult @ SV4 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(46,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[31,45,44,42,41,39,38,37,36]) ).
thf(47,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 10:06:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 8
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:10,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.18/0.41
% 0.18/0.41 ********************************
% 0.18/0.41 * All subproblems solved! *
% 0.18/0.41 ********************************
% 0.18/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:46,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.41
% 0.18/0.41 %**** Beginning of derivation protocol ****
% 0.18/0.41 % SZS output start CNFRefutation
% See solution above
% 0.18/0.41
% 0.18/0.41 %**** End of derivation protocol ****
% 0.18/0.41 %**** no. of clauses in derivation: 47 ****
% 0.18/0.41 %**** clause counter: 46 ****
% 0.18/0.41
% 0.18/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:46,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------