TSTP Solution File: LCL894+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL894+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 3 02:40:15 EDT 2024
% Result : Theorem 9.87s 1.98s
% Output : CNFRefutation 9.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X3,X4,X5] :
( ( '>='(X4,X5)
& '>='(X3,X4) )
=> '>='(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X6,X7] :
( ( '>='(X7,X6)
& '>='(X6,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X8,X9,X10] :
( '>='('+'(X8,X9),X10)
<=> '>='(X9,'==>'(X8,X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f9,axiom,
! [X11,X12,X13] :
( '>='(X11,X12)
=> '>='('+'(X11,X13),'+'(X12,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(f12,axiom,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f13,conjecture,
( ( '>='(c,b)
& '>='(c,a) )
<=> '>='(c,'+'(a,'==>'(a,b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_13) ).
fof(f14,negated_conjecture,
~ ( ( '>='(c,b)
& '>='(c,a) )
<=> '>='(c,'+'(a,'==>'(a,b))) ),
inference(negated_conjecture,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( '>='(X1,X2)
& '>='(X0,X1) )
=> '>='(X0,X2) ),
inference(rectify,[],[f5]) ).
fof(f16,plain,
! [X0,X1] :
( ( '>='(X1,X0)
& '>='(X0,X1) )
=> X0 = X1 ),
inference(rectify,[],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
inference(rectify,[],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
inference(rectify,[],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X1,X2)
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X1,X2)
| ~ '>='(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f24,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f28,plain,
( ( '>='(c,b)
& '>='(c,a) )
<~> '>='(c,'+'(a,'==>'(a,b))) ),
inference(ennf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f30,plain,
( ( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,b)
| ~ '>='(c,a) )
& ( '>='(c,'+'(a,'==>'(a,b)))
| ( '>='(c,b)
& '>='(c,a) ) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f31,plain,
( ( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,b)
| ~ '>='(c,a) )
& ( '>='(c,'+'(a,'==>'(a,b)))
| ( '>='(c,b)
& '>='(c,a) ) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] :
( '>='(X0,X2)
| ~ '>='(X1,X2)
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f38,plain,
! [X2,X0,X1] :
( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f39,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f41,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f44,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f45,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,a) ),
inference(cnf_transformation,[],[f31]) ).
fof(f46,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,b) ),
inference(cnf_transformation,[],[f31]) ).
fof(f47,plain,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,b)
| ~ '>='(c,a) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_49,plain,
'+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f32]) ).
cnf(c_50,plain,
'+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f33]) ).
cnf(c_51,plain,
'+'(X0,'0') = X0,
inference(cnf_transformation,[],[f34]) ).
cnf(c_52,plain,
'>='(X0,X0),
inference(cnf_transformation,[],[f35]) ).
cnf(c_53,plain,
( ~ '>='(X0,X1)
| ~ '>='(X1,X2)
| '>='(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_54,plain,
( ~ '>='(X0,X1)
| ~ '>='(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_55,plain,
( ~ '>='(X0,'==>'(X1,X2))
| '>='('+'(X1,X0),X2) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_56,plain,
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_57,plain,
'>='(X0,'0'),
inference(cnf_transformation,[],[f40]) ).
cnf(c_58,plain,
( ~ '>='(X0,X1)
| '>='('+'(X0,X2),'+'(X1,X2)) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_61,plain,
'+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[],[f44]) ).
cnf(c_62,negated_conjecture,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_63,negated_conjecture,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,b) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_64,negated_conjecture,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,a) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_184,plain,
'==>'(a,b) = sP0_iProver_def,
definition ).
cnf(c_185,plain,
'+'(a,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_186,negated_conjecture,
( '>='(c,a)
| '>='(c,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_64,c_184,c_185]) ).
cnf(c_187,negated_conjecture,
( '>='(c,b)
| '>='(c,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_188,negated_conjecture,
( ~ '>='(c,a)
| ~ '>='(c,b)
| ~ '>='(c,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_396,plain,
'+'(sP0_iProver_def,a) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_185,c_49,c_50]) ).
cnf(c_404,plain,
'+'('0',X0) = X0,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_418,plain,
( ~ '>='(X0,c)
| '>='(X0,a)
| '>='(c,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_186,c_53]) ).
cnf(c_430,plain,
'>='('+'(X0,'==>'(X0,X1)),X1),
inference(superposition,[status(thm)],[c_52,c_55]) ).
cnf(c_440,plain,
'>='(X0,'==>'(X1,'+'(X1,X0))),
inference(superposition,[status(thm)],[c_52,c_56]) ).
cnf(c_475,plain,
'>='('+'(a,sP0_iProver_def),b),
inference(superposition,[status(thm)],[c_184,c_430]) ).
cnf(c_479,plain,
'>='('+'(sP0_iProver_def,a),b),
inference(theory_normalisation,[status(thm)],[c_475,c_49,c_50]) ).
cnf(c_480,plain,
'>='(sP1_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_479,c_396]) ).
cnf(c_492,plain,
( ~ '>='(X0,sP1_iProver_def)
| '>='(X0,b) ),
inference(superposition,[status(thm)],[c_480,c_53]) ).
cnf(c_514,plain,
( '>='('+'(X0,'==>'(X0,c)),a)
| '>='(c,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_430,c_418]) ).
cnf(c_552,plain,
( '>='('==>'(X0,c),'==>'(X0,a))
| '>='(c,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_514,c_56]) ).
cnf(c_645,plain,
( ~ '>='(X0,'0')
| '>='('+'(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_404,c_58]) ).
cnf(c_651,plain,
'>='('+'(X0,X1),X1),
inference(forward_subsumption_resolution,[status(thm)],[c_645,c_57]) ).
cnf(c_765,plain,
( ~ '>='('0',X0)
| X0 = '0' ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
cnf(c_913,plain,
'>='('+'(X0,'+'(X1,X2)),X2),
inference(superposition,[status(thm)],[c_49,c_651]) ).
cnf(c_914,plain,
'>='('+'(X0,X1),X0),
inference(superposition,[status(thm)],[c_50,c_651]) ).
cnf(c_917,plain,
'>='(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_396,c_651]) ).
cnf(c_965,plain,
( ~ '>='(X0,sP1_iProver_def)
| '>='(X0,a) ),
inference(superposition,[status(thm)],[c_917,c_53]) ).
cnf(c_981,plain,
( '>='('+'(c,X0),a)
| '>='(c,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_914,c_418]) ).
cnf(c_1121,plain,
( '>='(X0,'==>'(c,a))
| '>='(c,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_981,c_56]) ).
cnf(c_1294,plain,
'>='('==>'(X0,X1),'==>'(X0,'+'(X1,'==>'(X1,X0)))),
inference(superposition,[status(thm)],[c_61,c_440]) ).
cnf(c_1919,plain,
'>='(c,b),
inference(backward_subsumption_resolution,[status(thm)],[c_187,c_492]) ).
cnf(c_1920,plain,
( ~ '>='(c,a)
| ~ '>='(c,sP1_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_188,c_492]) ).
cnf(c_1928,plain,
'>='('+'(sP1_iProver_def,X0),b),
inference(superposition,[status(thm)],[c_914,c_492]) ).
cnf(c_1948,plain,
( ~ '>='(X0,c)
| '>='(X0,b) ),
inference(superposition,[status(thm)],[c_1919,c_53]) ).
cnf(c_2004,plain,
'>='(X0,'==>'(sP1_iProver_def,b)),
inference(superposition,[status(thm)],[c_1928,c_56]) ).
cnf(c_2049,plain,
'>='('+'(c,X0),b),
inference(superposition,[status(thm)],[c_914,c_1948]) ).
cnf(c_2086,plain,
'>='(X0,'==>'(c,b)),
inference(superposition,[status(thm)],[c_2049,c_56]) ).
cnf(c_2396,plain,
'>='('+'(X0,sP1_iProver_def),a),
inference(superposition,[status(thm)],[c_396,c_913]) ).
cnf(c_2440,plain,
'>='('+'(sP1_iProver_def,X0),a),
inference(superposition,[status(thm)],[c_50,c_2396]) ).
cnf(c_2483,plain,
'>='('+'(X0,'==>'(X0,sP1_iProver_def)),a),
inference(superposition,[status(thm)],[c_61,c_2440]) ).
cnf(c_2701,plain,
~ '>='(c,sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_1920,c_965]) ).
cnf(c_2704,plain,
'>='(X0,'==>'(c,a)),
inference(backward_subsumption_resolution,[status(thm)],[c_1121,c_2701]) ).
cnf(c_2712,plain,
'>='('==>'(X0,c),'==>'(X0,a)),
inference(backward_subsumption_resolution,[status(thm)],[c_552,c_2701]) ).
cnf(c_2755,plain,
( ~ '>='('==>'(c,a),X0)
| '==>'(c,a) = X0 ),
inference(superposition,[status(thm)],[c_2704,c_54]) ).
cnf(c_4438,plain,
'>='('==>'(X0,sP1_iProver_def),'==>'(X0,a)),
inference(superposition,[status(thm)],[c_2483,c_56]) ).
cnf(c_9126,plain,
'==>'(c,a) = '==>'(c,b),
inference(superposition,[status(thm)],[c_2086,c_2755]) ).
cnf(c_9134,plain,
'==>'(c,a) = '==>'(sP1_iProver_def,b),
inference(superposition,[status(thm)],[c_2004,c_2755]) ).
cnf(c_9728,plain,
'==>'(sP1_iProver_def,b) = '0',
inference(superposition,[status(thm)],[c_2004,c_765]) ).
cnf(c_15702,plain,
'==>'(c,b) = '0',
inference(light_normalisation,[status(thm)],[c_9126,c_9134,c_9728]) ).
cnf(c_22896,plain,
'>='('==>'(b,a),'==>'(b,'+'(a,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_184,c_1294]) ).
cnf(c_22920,plain,
'>='('==>'(b,a),'==>'(b,'+'(sP0_iProver_def,a))),
inference(theory_normalisation,[status(thm)],[c_22896,c_49,c_50]) ).
cnf(c_22921,plain,
'>='('==>'(b,a),'==>'(b,sP1_iProver_def)),
inference(light_normalisation,[status(thm)],[c_22920,c_396]) ).
cnf(c_23149,plain,
( ~ '>='('==>'(b,sP1_iProver_def),'==>'(b,a))
| '==>'(b,a) = '==>'(b,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_22921,c_54]) ).
cnf(c_23157,plain,
'==>'(b,a) = '==>'(b,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_23149,c_4438]) ).
cnf(c_23928,plain,
'>='('==>'(b,c),'==>'(b,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_23157,c_2712]) ).
cnf(c_24275,plain,
'>='('+'(b,'==>'(b,c)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_23928,c_55]) ).
cnf(c_24389,plain,
'>='(c,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_24275,c_51,c_61,c_15702]) ).
cnf(c_24390,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24389,c_2701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.08 % Problem : LCL894+1 : TPTP v8.1.2. Released v5.5.0.
% 0.01/0.08 % Command : run_iprover %s %d THM
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Thu May 2 19:19:08 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.11/0.35 Running first-order theorem proving
% 0.11/0.35 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.87/1.98 % SZS status Started for theBenchmark.p
% 9.87/1.98 % SZS status Theorem for theBenchmark.p
% 9.87/1.98
% 9.87/1.98 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.87/1.98
% 9.87/1.98 ------ iProver source info
% 9.87/1.98
% 9.87/1.98 git: date: 2024-05-02 19:28:25 +0000
% 9.87/1.98 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.87/1.98 git: non_committed_changes: false
% 9.87/1.98
% 9.87/1.98 ------ Parsing...
% 9.87/1.98 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.87/1.98
% 9.87/1.98 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 9.87/1.98
% 9.87/1.98 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.87/1.98
% 9.87/1.98 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.87/1.98 ------ Proving...
% 9.87/1.98 ------ Problem Properties
% 9.87/1.98
% 9.87/1.98
% 9.87/1.98 clauses 18
% 9.87/1.98 conjectures 3
% 9.87/1.98 EPR 7
% 9.87/1.98 Horn 16
% 9.87/1.98 unary 8
% 9.87/1.98 binary 7
% 9.87/1.98 lits 31
% 9.87/1.98 lits eq 7
% 9.87/1.98 fd_pure 0
% 9.87/1.98 fd_pseudo 0
% 9.87/1.98 fd_cond 0
% 9.87/1.98 fd_pseudo_cond 1
% 9.87/1.98 AC symbols 1
% 9.87/1.98
% 9.87/1.98 ------ Schedule dynamic 5 is on
% 9.87/1.98
% 9.87/1.98 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
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% 9.87/1.98
% 9.87/1.98 ------
% 9.87/1.98 Current options:
% 9.87/1.98 ------
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% 9.87/1.98
% 9.87/1.98 ------ Proving...
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% 9.87/1.98
% 9.87/1.98 % SZS status Theorem for theBenchmark.p
% 9.87/1.98
% 9.87/1.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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