TSTP Solution File: NUM845+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 11:33:12 EDT 2023
% Result : Theorem 1.89s 1.19s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f60)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(cnf_transformation,[],[f59]) ).
cnf(c_50,negated_conjecture,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
inference(cnf_transformation,[],[f60]) ).
cnf(c_61,plain,
vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f70]) ).
cnf(c_62,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f12,axiom,
! [X2,X3] :
( vmul(X2,v1) = X2
& vmul(X2,vsucc(X3)) = vplus(vmul(X2,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f53,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f25]) ).
fof(f14,axiom,
! [X6] : vplus(v1,X6) = vsucc(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f57,plain,
! [X0,X1] : vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f29]) ).
fof(f25,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f12]) ).
fof(f27,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f14]) ).
fof(f29,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)) ),
inference(rectify,[],[f16]) ).
fof(f52,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f27]) ).
fof(f13,axiom,
! [X4,X5] : vplus(X5,X4) = vplus(X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f70,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f52,f55]) ).
fof(f26,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f13]) ).
fof(f15,axiom,
! [X7,X8,X9] : vplus(vplus(X7,X8),X9) = vplus(X7,vplus(X8,X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f54,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f15]) ).
fof(f56,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f28]) ).
fof(f58,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f29]) ).
fof(f16,axiom,
! [X10,X11] :
( vplus(X10,v1) = vsucc(X10)
& vplus(X10,vsucc(X11)) = vsucc(vplus(X10,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f71,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f58,f55]) ).
cnf(c_63,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_79,negated_conjecture,
vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_49,c_63,c_62]) ).
cnf(c_80,negated_conjecture,
vplus(sK0,vmul(vd411,sK0)) = vmul(vplus(vd411,v1),sK0),
inference(theory_normalisation,[status(thm)],[c_50,c_63,c_62]) ).
cnf(c_84,plain,
vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_61,c_63,c_62]) ).
cnf(c_113,plain,
vplus(v1,vplus(sK0,vplus(vd411,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(demodulation,[status(thm)],[c_79,c_84]) ).
cnf(c_114,plain,
vplus(vd411,vplus(v1,vplus(sK0,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_113,c_63,c_62]) ).
cnf(c_210,plain,
vplus(vplus(vd411,v1),vplus(sK0,vmul(vd411,sK0))) = vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(superposition,[status(thm)],[c_80,c_84]) ).
cnf(c_216,plain,
vplus(vd411,vplus(v1,vplus(sK0,vmul(vd411,sK0)))) = vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_210,c_63,c_62]) ).
cnf(c_217,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_216,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 15:12:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.89/1.19 % SZS status Started for theBenchmark.p
% 1.89/1.19 % SZS status Theorem for theBenchmark.p
% 1.89/1.19
% 1.89/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.89/1.19
% 1.89/1.19 ------ iProver source info
% 1.89/1.19
% 1.89/1.19 git: date: 2023-05-31 18:12:56 +0000
% 1.89/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.89/1.19 git: non_committed_changes: false
% 1.89/1.19 git: last_make_outside_of_git: false
% 1.89/1.19
% 1.89/1.19 ------ Parsing...
% 1.89/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.89/1.19
% 1.89/1.19 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 1.89/1.19
% 1.89/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.89/1.19
% 1.89/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.89/1.19 ------ Proving...
% 1.89/1.19 ------ Problem Properties
% 1.89/1.19
% 1.89/1.19
% 1.89/1.19 clauses 8
% 1.89/1.19 conjectures 1
% 1.89/1.19 EPR 0
% 1.89/1.19 Horn 8
% 1.89/1.19 unary 6
% 1.89/1.19 binary 2
% 1.89/1.19 lits 10
% 1.89/1.19 lits eq 10
% 1.89/1.19 fd_pure 0
% 1.89/1.19 fd_pseudo 0
% 1.89/1.19 fd_cond 0
% 1.89/1.19 fd_pseudo_cond 0
% 1.89/1.19 AC symbols 1
% 1.89/1.19
% 1.89/1.19 ------ Schedule dynamic 5 is on
% 1.89/1.19
% 1.89/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.89/1.19
% 1.89/1.19
% 1.89/1.19 ------
% 1.89/1.19 Current options:
% 1.89/1.19 ------
% 1.89/1.19
% 1.89/1.19
% 1.89/1.19
% 1.89/1.19
% 1.89/1.19 ------ Proving...
% 1.89/1.19
% 1.89/1.19
% 1.89/1.19 % SZS status Theorem for theBenchmark.p
% 1.89/1.19
% 1.89/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/1.19
% 1.89/1.19
%------------------------------------------------------------------------------