TSTP Solution File: SWV155+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV155+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 03:13:38 EDT 2024
% Result : Theorem 3.54s 1.17s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f53,conjecture,
( ( ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& ! [X13] :
( ( leq(X13,pred(pv12))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) )
=> ! [X3] :
( ( leq(X3,pred(pv10))
& leq(n0,X3) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0005) ).
fof(f54,negated_conjecture,
~ ( ( ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& ! [X13] :
( ( leq(X13,pred(pv12))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) )
=> ! [X3] :
( ( leq(X3,pred(pv10))
& leq(n0,X3) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f114,plain,
~ ( ( ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& ! [X1] :
( ( leq(X1,pred(pv12))
& leq(n0,X1) )
=> a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) )
=> ! [X2] :
( ( leq(X2,pred(pv10))
& leq(n0,X2) )
=> ( pv10 != X2
=> n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index)) ) ) ),
inference(rectify,[],[f54]) ).
fof(f156,plain,
( ? [X2] :
( n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& pv10 != X2
& leq(X2,pred(pv10))
& leq(n0,X2) )
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& ! [X1] :
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X1,pred(pv12))
| ~ leq(n0,X1) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X2] :
( n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& pv10 != X2
& leq(X2,pred(pv10))
& leq(n0,X2) )
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& ! [X1] :
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X1,pred(pv12))
| ~ leq(n0,X1) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(flattening,[],[f156]) ).
fof(f224,plain,
( ? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& pv10 != X0
& leq(X0,pred(pv10))
& leq(n0,X0) )
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& ! [X2] :
( a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X2,pred(pv12))
| ~ leq(n0,X2) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& pv10 != X0
& leq(X0,pred(pv10))
& leq(n0,X0) )
=> ( n1 != sum(n0,n4,a_select3(q,sK31,tptp_sum_index))
& pv10 != sK31
& leq(sK31,pred(pv10))
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( n1 != sum(n0,n4,a_select3(q,sK31,tptp_sum_index))
& pv10 != sK31
& leq(sK31,pred(pv10))
& leq(n0,sK31)
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& ! [X2] :
( a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X2,pred(pv12))
| ~ leq(n0,X2) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f224,f225]) ).
fof(f317,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f343,plain,
! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f344,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f345,plain,
leq(sK31,pred(pv10)),
inference(cnf_transformation,[],[f226]) ).
fof(f347,plain,
n1 != sum(n0,n4,a_select3(q,sK31,tptp_sum_index)),
inference(cnf_transformation,[],[f226]) ).
fof(f408,plain,
leq(sK31,minus(pv10,n1)),
inference(definition_unfolding,[],[f345,f317]) ).
fof(f409,plain,
! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f343,f317]) ).
cnf(c_157,negated_conjecture,
sum(n0,n4,a_select3(q,sK31,tptp_sum_index)) != n1,
inference(cnf_transformation,[],[f347]) ).
cnf(c_159,negated_conjecture,
leq(sK31,minus(pv10,n1)),
inference(cnf_transformation,[],[f408]) ).
cnf(c_160,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f344]) ).
cnf(c_161,negated_conjecture,
( ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0)
| sum(n0,n4,a_select3(q,X0,tptp_sum_index)) = n1 ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_5884,plain,
minus(pv10,n1) = sP6_iProver_def,
definition ).
cnf(c_5885,plain,
a_select3(q,sK31,tptp_sum_index) = sP7_iProver_def,
definition ).
cnf(c_5886,plain,
sum(n0,n4,sP7_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_5892,negated_conjecture,
( ~ leq(X0,sP6_iProver_def)
| ~ leq(n0,X0)
| sum(n0,n4,a_select3(q,X0,tptp_sum_index)) = n1 ),
inference(demodulation,[status(thm)],[c_161,c_5884]) ).
cnf(c_5893,negated_conjecture,
leq(n0,sK31),
inference(demodulation,[status(thm)],[c_160]) ).
cnf(c_5894,negated_conjecture,
leq(sK31,sP6_iProver_def),
inference(demodulation,[status(thm)],[c_159]) ).
cnf(c_5896,negated_conjecture,
sP8_iProver_def != n1,
inference(demodulation,[status(thm)],[c_157,c_5885,c_5886]) ).
cnf(c_8950,plain,
( ~ leq(sK31,sP6_iProver_def)
| sum(n0,n4,a_select3(q,sK31,tptp_sum_index)) = n1 ),
inference(superposition,[status(thm)],[c_5893,c_5892]) ).
cnf(c_8957,plain,
( ~ leq(sK31,sP6_iProver_def)
| n1 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8950,c_5885,c_5886]) ).
cnf(c_8958,plain,
n1 = sP8_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_8957,c_5894]) ).
cnf(c_8962,plain,
sP8_iProver_def != sP8_iProver_def,
inference(demodulation,[status(thm)],[c_5896,c_8958]) ).
cnf(c_8963,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_8962]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV155+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 01:03:16 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.54/1.17 % SZS status Started for theBenchmark.p
% 3.54/1.17 % SZS status Theorem for theBenchmark.p
% 3.54/1.17
% 3.54/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.54/1.17
% 3.54/1.17 ------ iProver source info
% 3.54/1.17
% 3.54/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.54/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.54/1.17 git: non_committed_changes: false
% 3.54/1.17
% 3.54/1.17 ------ Parsing...
% 3.54/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.54/1.17
% 3.54/1.17 ------ Preprocessing... sup_sim: 17 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.54/1.17
% 3.54/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.54/1.17
% 3.54/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.54/1.17 ------ Proving...
% 3.54/1.17 ------ Problem Properties
% 3.54/1.17
% 3.54/1.17
% 3.54/1.17 clauses 167
% 3.54/1.17 conjectures 10
% 3.54/1.17 EPR 52
% 3.54/1.17 Horn 117
% 3.54/1.17 unary 71
% 3.54/1.17 binary 34
% 3.54/1.17 lits 510
% 3.54/1.17 lits eq 127
% 3.54/1.17 fd_pure 0
% 3.54/1.17 fd_pseudo 0
% 3.54/1.17 fd_cond 6
% 3.54/1.17 fd_pseudo_cond 4
% 3.54/1.17 AC symbols 0
% 3.54/1.17
% 3.54/1.17 ------ Schedule dynamic 5 is on
% 3.54/1.17
% 3.54/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/1.17
% 3.54/1.17
% 3.54/1.17 ------
% 3.54/1.17 Current options:
% 3.54/1.17 ------
% 3.54/1.17
% 3.54/1.17
% 3.54/1.17
% 3.54/1.17
% 3.54/1.17 ------ Proving...
% 3.54/1.17
% 3.54/1.17
% 3.54/1.17 % SZS status Theorem for theBenchmark.p
% 3.54/1.17
% 3.54/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.17
% 3.54/1.17
%------------------------------------------------------------------------------