TSTP Solution File: GRP674+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP674+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 01:01:20 EDT 2023
% Result : CounterSatisfiable 283.32s 37.94s
% Output : Saturation 283.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X1] : mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X1,mult(X0,mult(X2,X1))) = mult(mult(mult(X1,X0),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X2,X0,X1] : asoc(X1,X0,X2) = ld(mult(X1,mult(X0,X2)),mult(mult(X1,X0),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
mult(asoc(op_x,op_y,op_z),asoc(op_x,op_y,op_t)) = asoc(op_x,op_y,mult(op_z,op_t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f10,conjecture,
( mult(op_z,asoc(op_x,op_y,op_t)) = mult(asoc(op_x,op_y,op_t),op_z)
& mult(op_t,asoc(op_x,op_y,op_z)) = mult(asoc(op_x,op_y,op_z),op_t) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f11,negated_conjecture,
~ ( mult(op_z,asoc(op_x,op_y,op_t)) = mult(asoc(op_x,op_y,op_t),op_z)
& mult(op_t,asoc(op_x,op_y,op_z)) = mult(asoc(op_x,op_y,op_z),op_t) ),
inference(negated_conjecture,[],[f10]) ).
fof(f12,plain,
! [X0] : mult(X0,unit) = X0,
inference(rectify,[],[f5]) ).
fof(f13,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f14,plain,
! [X0,X1,X2] : mult(X2,mult(X1,mult(X0,X2))) = mult(mult(mult(X2,X1),X0),X2),
inference(rectify,[],[f7]) ).
fof(f15,plain,
! [X0,X1,X2] : asoc(X2,X1,X0) = ld(mult(X2,mult(X1,X0)),mult(mult(X2,X1),X0)),
inference(rectify,[],[f8]) ).
fof(f16,plain,
( mult(op_z,asoc(op_x,op_y,op_t)) != mult(asoc(op_x,op_y,op_t),op_z)
| mult(op_t,asoc(op_x,op_y,op_z)) != mult(asoc(op_x,op_y,op_z),op_t) ),
inference(ennf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,X2))) = mult(mult(mult(X2,X1),X0),X2),
inference(cnf_transformation,[],[f14]) ).
fof(f24,plain,
! [X2,X0,X1] : asoc(X2,X1,X0) = ld(mult(X2,mult(X1,X0)),mult(mult(X2,X1),X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
mult(asoc(op_x,op_y,op_z),asoc(op_x,op_y,op_t)) = asoc(op_x,op_y,mult(op_z,op_t)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
( mult(op_z,asoc(op_x,op_y,op_t)) != mult(asoc(op_x,op_y,op_t),op_z)
| mult(op_t,asoc(op_x,op_y,op_z)) != mult(asoc(op_x,op_y,op_z),op_t) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
mult(ld(mult(op_x,mult(op_y,op_z)),mult(mult(op_x,op_y),op_z)),ld(mult(op_x,mult(op_y,op_t)),mult(mult(op_x,op_y),op_t))) = ld(mult(op_x,mult(op_y,mult(op_z,op_t))),mult(mult(op_x,op_y),mult(op_z,op_t))),
inference(definition_unfolding,[],[f25,f24,f24,f24]) ).
fof(f28,plain,
( mult(op_z,ld(mult(op_x,mult(op_y,op_t)),mult(mult(op_x,op_y),op_t))) != mult(ld(mult(op_x,mult(op_y,op_t)),mult(mult(op_x,op_y),op_t)),op_z)
| mult(op_t,ld(mult(op_x,mult(op_y,op_z)),mult(mult(op_x,op_y),op_z))) != mult(ld(mult(op_x,mult(op_y,op_z)),mult(mult(op_x,op_y),op_z)),op_t) ),
inference(definition_unfolding,[],[f26,f24,f24,f24,f24]) ).
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f17]) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f18]) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f19]) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f20]) ).
cnf(c_53,plain,
mult(X0,unit) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
inference(cnf_transformation,[],[f22]) ).
cnf(c_55,plain,
mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(cnf_transformation,[],[f23]) ).
cnf(c_56,plain,
mult(ld(mult(op_x,mult(op_y,op_z)),mult(mult(op_x,op_y),op_z)),ld(mult(op_x,mult(op_y,op_t)),mult(mult(op_x,op_y),op_t))) = ld(mult(op_x,mult(op_y,mult(op_z,op_t))),mult(mult(op_x,op_y),mult(op_z,op_t))),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,negated_conjecture,
( mult(ld(mult(op_x,mult(op_y,op_z)),mult(mult(op_x,op_y),op_z)),op_t) != mult(op_t,ld(mult(op_x,mult(op_y,op_z)),mult(mult(op_x,op_y),op_z)))
| mult(ld(mult(op_x,mult(op_y,op_t)),mult(mult(op_x,op_y),op_t)),op_z) != mult(op_z,ld(mult(op_x,mult(op_y,op_t)),mult(mult(op_x,op_y),op_t))) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP674+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n022.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 : Mon Aug 28 23:00:09 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 283.32/37.94 % SZS status Started for theBenchmark.p
% 283.32/37.94 % SZS status CounterSatisfiable for theBenchmark.p
% 283.32/37.94
% 283.32/37.94 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 283.32/37.94
% 283.32/37.94 ------ iProver source info
% 283.32/37.94
% 283.32/37.94 git: date: 2023-05-31 18:12:56 +0000
% 283.32/37.94 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 283.32/37.94 git: non_committed_changes: false
% 283.32/37.94 git: last_make_outside_of_git: false
% 283.32/37.94
% 283.32/37.94 ------ Parsing...
% 283.32/37.94 ------ Clausification by vclausify_rel & Parsing by iProver...
% 283.32/37.94
% 283.32/37.94 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 283.32/37.94
% 283.32/37.94 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 283.32/37.94
% 283.32/37.94 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 283.32/37.94 ------ Proving...
% 283.32/37.94 ------ Problem Properties
% 283.32/37.94
% 283.32/37.94
% 283.32/37.94 clauses 9
% 283.32/37.94 conjectures 1
% 283.32/37.94 EPR 0
% 283.32/37.94 Horn 9
% 283.32/37.94 unary 8
% 283.32/37.94 binary 1
% 283.32/37.94 lits 10
% 283.32/37.94 lits eq 10
% 283.32/37.94 fd_pure 0
% 283.32/37.94 fd_pseudo 0
% 283.32/37.94 fd_cond 0
% 283.32/37.94 fd_pseudo_cond 0
% 283.32/37.94 AC symbols 0
% 283.32/37.94
% 283.32/37.94 ------ Input Options Time Limit: Unbounded
% 283.32/37.94
% 283.32/37.94
% 283.32/37.94 ------
% 283.32/37.94 Current options:
% 283.32/37.94 ------
% 283.32/37.94
% 283.32/37.94
% 283.32/37.94
% 283.32/37.94
% 283.32/37.94 ------ Proving...
% 283.32/37.94
% 283.32/37.94
% 283.32/37.94 % SZS status CounterSatisfiable for theBenchmark.p
% 283.32/37.94
% 283.32/37.94 % SZS output start Saturation for theBenchmark.p
% See solution above
% 283.32/37.95
% 283.32/37.95
%------------------------------------------------------------------------------