TSTP Solution File: NUM853+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Thu Aug 31 11:33:17 EDT 2023
% Result : Theorem 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f101)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ greater(vd486,vd488),
inference(cnf_transformation,[],[f100]) ).
cnf(c_50,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(cnf_transformation,[],[f101]) ).
cnf(c_52,plain,
( ~ greater(X0,X1)
| greater(vmul(X0,X2),vmul(X1,X2)) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_63,plain,
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_64,plain,
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_65,plain,
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_67,plain,
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_664,plain,
less(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(superposition,[status(thm)],[c_50,c_64]) ).
cnf(c_681,plain,
~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(superposition,[status(thm)],[c_664,c_67]) ).
cnf(c_709,plain,
( X0 = X1
| greater(X0,X1)
| greater(X1,X0) ),
inference(superposition,[status(thm)],[c_65,c_63]) ).
cnf(c_805,plain,
~ greater(vd488,vd486),
inference(superposition,[status(thm)],[c_52,c_681]) ).
cnf(c_8664,plain,
( vd486 = vd488
| greater(vd486,vd488) ),
inference(superposition,[status(thm)],[c_709,c_805]) ).
cnf(c_8675,plain,
vd486 = vd488,
inference(forward_subsumption_resolution,[status(thm)],[c_8664,c_49]) ).
cnf(c_8685,plain,
greater(vmul(vd486,vd487),vmul(vd486,vd487)),
inference(demodulation,[status(thm)],[c_50,c_8675]) ).
fof(f12,axiom,
! [X18,X19] :
( vmul(X18,v1) = X18
& vmul(X18,vsucc(X19)) = vplus(vmul(X18,X19),X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f111,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f47]) ).
fof(f33,axiom,
! [X54] : vplus(v1,X54) = vsucc(X54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f139,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f47,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f12]) ).
fof(f68,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f33]) ).
fof(f70,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f35]) ).
fof(f71,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f36]) ).
fof(f72,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f37]) ).
fof(f73,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
inference(rectify,[],[f38]) ).
fof(f87,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f71]) ).
fof(f88,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f73]) ).
fof(f110,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f47]) ).
fof(f133,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f68]) ).
fof(f14,axiom,
! [X22,X23] :
( greater(X22,X23)
=> geq(X22,vplus(X23,v1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof(f141,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f110,f133]) ).
fof(f49,plain,
! [X0,X1] :
( greater(X0,X1)
=> geq(X0,vplus(X1,v1)) ),
inference(rectify,[],[f14]) ).
fof(f78,plain,
! [X0,X1] :
( geq(X0,vplus(X1,v1))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f15,axiom,
! [X24] : geq(X24,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof(f112,plain,
! [X0,X1] :
( geq(X0,vplus(X1,v1))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f50,plain,
! [X0] : geq(X0,v1),
inference(rectify,[],[f15]) ).
fof(f16,axiom,
! [X25,X26,X27,X28] :
( ( geq(X25,X26)
& geq(X27,X28) )
=> geq(vplus(X25,X27),vplus(X26,X28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof(f113,plain,
! [X0] : geq(X0,v1),
inference(cnf_transformation,[],[f50]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ( geq(X0,X1)
& geq(X2,X3) )
=> geq(vplus(X0,X2),vplus(X1,X3)) ),
inference(rectify,[],[f16]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) ),
inference(ennf_transformation,[],[f51]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) ),
inference(flattening,[],[f79]) ).
fof(f17,axiom,
! [X29,X30] :
( less(X29,X30)
=> greater(X30,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) ),
inference(cnf_transformation,[],[f80]) ).
fof(f52,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f81,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f18,axiom,
! [X31,X32] :
( greater(X31,X32)
=> less(X32,X31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f115,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f53,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f82,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f19,axiom,
! [X33,X34] :
( less(X33,X34)
| greater(X33,X34)
| X33 = X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f116,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f54,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f19]) ).
fof(f20,axiom,
! [X33,X34] :
( ~ less(X33,X34)
| X33 != X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f117,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f54]) ).
fof(f55,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f20]) ).
fof(f118,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f21,axiom,
! [X33,X34] :
( ~ less(X33,X34)
| ~ greater(X33,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f149,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f118]) ).
fof(f56,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f22,axiom,
! [X33,X34] :
( ~ greater(X33,X34)
| X33 != X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f119,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f57,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f22]) ).
fof(f120,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f135,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f70]) ).
fof(f36,axiom,
! [X60] :
( v1 != X60
=> vsucc(vskolem2(X60)) = X60 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f144,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f135,f133,f133]) ).
fof(f136,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f70]) ).
fof(f35,axiom,
! [X58,X59] :
( vplus(X58,v1) = vsucc(X58)
& vplus(X58,vsucc(X59)) = vsucc(vplus(X58,X59)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f143,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f136,f133]) ).
fof(f137,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f37,axiom,
! [X61] : vsucc(X61) != X61,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f145,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f137,f133]) ).
fof(f138,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f72]) ).
fof(f38,axiom,
! [X62,X63] :
( X62 != X63
=> vsucc(X62) != vsucc(X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f146,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f138,f133]) ).
fof(f150,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f120]) ).
cnf(c_68,plain,
~ greater(X0,X0),
inference(cnf_transformation,[],[f150]) ).
cnf(c_8687,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8685,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.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 Aug 25 16:49:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16 git: last_make_outside_of_git: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...
% 0.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sup_sim: 1 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 27
% 0.47/1.16 conjectures 1
% 0.47/1.16 EPR 7
% 0.47/1.16 Horn 24
% 0.47/1.16 unary 16
% 0.47/1.16 binary 9
% 0.47/1.16 lits 40
% 0.47/1.16 lits eq 20
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 0
% 0.47/1.16 fd_pseudo_cond 2
% 0.47/1.16 AC symbols 2
% 0.47/1.16
% 0.47/1.16 ------ Schedule dynamic 5 is on
% 0.47/1.16
% 0.47/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 2.31/1.17
%------------------------------------------------------------------------------