TSTP Solution File: GRP702+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% 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 01:01:29 EDT 2023
% Result : Theorem 2.66s 1.17s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 18 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 16 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn; 25 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f8,axiom,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f10,axiom,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f11,axiom,
! [X1] : op_d = ld(X1,mult(op_c,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f14,conjecture,
! [X3,X4] :
( mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),X4)
& mult(X3,mult(X4,op_d)) = mult(mult(X3,X4),op_d)
& mult(op_d,mult(X3,X4)) = mult(mult(op_d,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X3,X4] :
( mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),X4)
& mult(X3,mult(X4,op_d)) = mult(mult(X3,X4),op_d)
& mult(op_d,mult(X3,X4)) = mult(mult(op_d,X3),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f19,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(rectify,[],[f11]) ).
fof(f20,plain,
~ ! [X0,X1] :
( mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1)
& mult(X0,mult(X1,op_d)) = mult(mult(X0,X1),op_d)
& mult(op_d,mult(X0,X1)) = mult(mult(op_d,X0),X1) ),
inference(rectify,[],[f15]) ).
fof(f21,plain,
? [X0,X1] :
( mult(X0,mult(op_d,X1)) != mult(mult(X0,op_d),X1)
| mult(X0,mult(X1,op_d)) != mult(mult(X0,X1),op_d)
| mult(op_d,mult(X0,X1)) != mult(mult(op_d,X0),X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
( ? [X0,X1] :
( mult(X0,mult(op_d,X1)) != mult(mult(X0,op_d),X1)
| mult(X0,mult(X1,op_d)) != mult(mult(X0,X1),op_d)
| mult(op_d,mult(X0,X1)) != mult(mult(op_d,X0),X1) )
=> ( mult(sK0,mult(op_d,sK1)) != mult(mult(sK0,op_d),sK1)
| mult(sK0,mult(sK1,op_d)) != mult(mult(sK0,sK1),op_d)
| mult(op_d,mult(sK0,sK1)) != mult(mult(op_d,sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( mult(sK0,mult(op_d,sK1)) != mult(mult(sK0,op_d),sK1)
| mult(sK0,mult(sK1,op_d)) != mult(mult(sK0,sK1),op_d)
| mult(op_d,mult(sK0,sK1)) != mult(mult(op_d,sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22]) ).
fof(f25,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
( mult(sK0,mult(op_d,sK1)) != mult(mult(sK0,op_d),sK1)
| mult(sK0,mult(sK1,op_d)) != mult(mult(sK0,sK1),op_d)
| mult(op_d,mult(sK0,sK1)) != mult(mult(op_d,sK0),sK1) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f25]) ).
cnf(c_56,plain,
mult(mult(op_c,X0),X1) = mult(op_c,mult(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_57,plain,
mult(mult(X0,X1),op_c) = mult(X0,mult(X1,op_c)),
inference(cnf_transformation,[],[f32]) ).
cnf(c_58,plain,
mult(mult(X0,op_c),X1) = mult(X0,mult(op_c,X1)),
inference(cnf_transformation,[],[f33]) ).
cnf(c_59,plain,
ld(X0,mult(op_c,X0)) = op_d,
inference(cnf_transformation,[],[f34]) ).
cnf(c_62,negated_conjecture,
( mult(mult(op_d,sK0),sK1) != mult(op_d,mult(sK0,sK1))
| mult(mult(sK0,op_d),sK1) != mult(sK0,mult(op_d,sK1))
| mult(mult(sK0,sK1),op_d) != mult(sK0,mult(sK1,op_d)) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_211,plain,
op_c = op_d,
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_214,plain,
( mult(mult(op_c,sK0),sK1) != mult(op_c,mult(sK0,sK1))
| mult(mult(sK0,op_c),sK1) != mult(sK0,mult(op_c,sK1))
| mult(mult(sK0,sK1),op_c) != mult(sK0,mult(sK1,op_c)) ),
inference(demodulation,[status(thm)],[c_62,c_211]) ).
cnf(c_266,plain,
( mult(op_c,mult(sK0,sK1)) != mult(op_c,mult(sK0,sK1))
| mult(sK0,mult(op_c,sK1)) != mult(sK0,mult(op_c,sK1))
| mult(sK0,mult(sK1,op_c)) != mult(sK0,mult(sK1,op_c)) ),
inference(demodulation,[status(thm)],[c_214,c_56,c_57,c_58]) ).
cnf(c_267,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 21:13:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.66/1.17 % SZS status Started for theBenchmark.p
% 2.66/1.17 % SZS status Theorem for theBenchmark.p
% 2.66/1.17
% 2.66/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.66/1.17
% 2.66/1.17 ------ iProver source info
% 2.66/1.17
% 2.66/1.17 git: date: 2023-05-31 18:12:56 +0000
% 2.66/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.66/1.17 git: non_committed_changes: false
% 2.66/1.17 git: last_make_outside_of_git: false
% 2.66/1.17
% 2.66/1.17 ------ Parsing...
% 2.66/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.66/1.17
% 2.66/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.66/1.17
% 2.66/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.66/1.17
% 2.66/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.66/1.17 ------ Proving...
% 2.66/1.17 ------ Problem Properties
% 2.66/1.17
% 2.66/1.17
% 2.66/1.17 clauses 14
% 2.66/1.17 conjectures 1
% 2.66/1.17 EPR 0
% 2.66/1.17 Horn 14
% 2.66/1.17 unary 13
% 2.66/1.17 binary 0
% 2.66/1.17 lits 16
% 2.66/1.17 lits eq 16
% 2.66/1.17 fd_pure 0
% 2.66/1.17 fd_pseudo 0
% 2.66/1.17 fd_cond 0
% 2.66/1.17 fd_pseudo_cond 0
% 2.66/1.17 AC symbols 0
% 2.66/1.17
% 2.66/1.17 ------ Schedule dynamic 5 is on
% 2.66/1.17
% 2.66/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.66/1.17
% 2.66/1.17
% 2.66/1.17 ------
% 2.66/1.17 Current options:
% 2.66/1.17 ------
% 2.66/1.17
% 2.66/1.17
% 2.66/1.17
% 2.66/1.17
% 2.66/1.17 ------ Proving...
% 2.66/1.17
% 2.66/1.17
% 2.66/1.17 % SZS status Theorem for theBenchmark.p
% 2.66/1.17
% 2.66/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.66/1.17
% 2.66/1.17
%------------------------------------------------------------------------------