%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP715+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:35:17 PM UTC 2026
% Result : Theorem 4.53s 1.29s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 42 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 39 !; 1 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(mult(X1,X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f10,axiom,
mult(op_a,op_b) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f11,axiom,
mult(op_b,op_a) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f12,conjecture,
! [X0] :
( mult(mult(X0,op_b),op_a) = X0
& mult(mult(X0,op_a),op_b) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f13,negated_conjecture,
~ ! [X0] :
( mult(mult(X0,op_b),op_a) = X0
& mult(mult(X0,op_a),op_b) = X0 ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
? [X0] :
( mult(mult(X0,op_b),op_a) != X0
| mult(mult(X0,op_a),op_b) != X0 ),
inference(ennf_transformation,[],[f13]) ).
fof(f15,plain,
( sK0 != mult(mult(sK0,op_b),op_a)
| sK0 != mult(mult(sK0,op_a),op_b) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f14]) ).
fof(f16,plain,
( sK0 != mult(mult(sK0,op_b),op_a)
| sK0 != mult(mult(sK0,op_a),op_b) ),
inference(cnf_transformation,[],[f15]) ).
fof(f17,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X1,X0),X0),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(mult(X1,X0),X1)),
inference(cnf_transformation,[],[f6]) ).
fof(f19,plain,
unit = mult(op_b,op_a),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
unit = mult(op_a,op_b),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_49,negated_conjecture,
( ( mult(mult(sK0,op_b),op_a) != sK0 )
| ( mult(mult(sK0,op_a),op_b) != sK0 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(cnf_transformation,[],[f17]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_52,plain,
mult(op_b,op_a) = unit,
inference(cnf_transformation,[],[f19]) ).
tcf(c_53,plain,
mult(op_a,op_b) = unit,
inference(cnf_transformation,[],[f20]) ).
tcf(c_54,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f21]) ).
tcf(c_55,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f22]) ).
tcf(c_120,plain,
mult(op_b,mult(op_a,op_a)) = mult(unit,op_a),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_121,plain,
mult(op_a,mult(op_b,op_b)) = mult(unit,op_b),
inference(superposition,[status(thm)],[c_53,c_50]) ).
tcf(c_129,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(demodulation,[status(thm)],[c_120,c_54]) ).
tcf(c_131,plain,
mult(op_a,mult(op_b,op_b)) = op_b,
inference(demodulation,[status(thm)],[c_121,c_54]) ).
tcf(c_140,plain,
! [X0: $i] : mult(op_b,mult(mult(op_a,X0),op_a)) = mult(mult(unit,X0),op_a),
inference(superposition,[status(thm)],[c_52,c_51]) ).
tcf(c_141,plain,
! [X0: $i] : mult(op_a,mult(mult(op_b,X0),op_b)) = mult(mult(unit,X0),op_b),
inference(superposition,[status(thm)],[c_53,c_51]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(mult(X1,X2),X1)),X2) = mult(mult(X0,X1),mult(mult(X2,X1),X2)),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_152,plain,
! [X0: $i] : mult(op_a,mult(mult(op_b,X0),op_b)) = mult(X0,op_b),
inference(light_normalisation,[status(thm)],[c_141,c_54]) ).
tcf(c_153,plain,
! [X0: $i] : mult(op_b,mult(mult(op_a,X0),op_a)) = mult(X0,op_a),
inference(light_normalisation,[status(thm)],[c_140,c_54]) ).
tcf(c_186,plain,
mult(op_a,mult(op_b,mult(op_b,op_b))) = mult(op_b,op_b),
inference(superposition,[status(thm)],[c_50,c_152]) ).
tcf(c_226,plain,
mult(mult(op_b,op_b),op_a) = mult(op_b,mult(op_b,op_a)),
inference(superposition,[status(thm)],[c_131,c_153]) ).
tcf(c_232,plain,
mult(mult(op_b,op_b),op_a) = mult(op_b,unit),
inference(light_normalisation,[status(thm)],[c_226,c_52]) ).
tcf(c_249,plain,
mult(mult(op_b,op_b),op_a) = op_b,
inference(demodulation,[status(thm)],[c_232,c_55]) ).
tcf(c_2871,plain,
! [X0: $i] : mult(mult(X0,op_a),mult(mult(mult(op_b,op_b),op_a),mult(op_b,op_b))) = mult(mult(X0,mult(op_b,op_a)),mult(op_b,op_b)),
inference(superposition,[status(thm)],[c_131,c_149]) ).
tcf(c_2969,plain,
! [X0: $i] : mult(mult(X0,op_a),mult(op_b,mult(op_b,op_b))) = mult(X0,mult(op_b,op_b)),
inference(light_normalisation,[status(thm)],[c_2871,c_52,c_55,c_249]) ).
tcf(c_3322,plain,
! [X0: $i] : mult(X0,mult(mult(op_a,mult(op_b,mult(op_b,op_b))),op_a)) = mult(mult(X0,mult(op_b,op_b)),op_a),
inference(superposition,[status(thm)],[c_2969,c_51]) ).
tcf(c_3333,plain,
! [X0: $i] : mult(mult(X0,mult(op_b,op_b)),op_a) = mult(X0,op_b),
inference(light_normalisation,[status(thm)],[c_3322,c_186,c_249]) ).
tcf(c_3421,plain,
! [X0: $i] : mult(X0,mult(mult(op_a,mult(op_b,op_b)),op_a)) = mult(mult(X0,op_a),op_b),
inference(superposition,[status(thm)],[c_3333,c_51]) ).
tcf(c_3445,plain,
! [X0: $i] : mult(mult(X0,op_a),op_b) = X0,
inference(light_normalisation,[status(thm)],[c_3421,c_52,c_55,c_131]) ).
tcf(c_3455,plain,
mult(mult(sK0,op_b),op_a) != sK0,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_3445]) ).
tcf(c_3532,plain,
! [X0: $i] : mult(mult(X0,mult(op_a,op_a)),op_b) = mult(X0,op_a),
inference(superposition,[status(thm)],[c_50,c_3445]) ).
tcf(c_3733,plain,
! [X0: $i] : mult(X0,mult(mult(op_b,mult(op_a,op_a)),op_b)) = mult(mult(X0,op_b),op_a),
inference(superposition,[status(thm)],[c_3532,c_51]) ).
tcf(c_3751,plain,
! [X0: $i] : mult(mult(X0,op_b),op_a) = X0,
inference(light_normalisation,[status(thm)],[c_3733,c_53,c_55,c_129]) ).
tcf(c_3759,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3455,c_3751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP715+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 15:52:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 4.53/1.29 % SZS status Started for theBenchmark.p
% 4.53/1.29 % SZS status Theorem for theBenchmark.p
% 4.53/1.29
% 4.53/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.53/1.29
% 4.53/1.29 % ------ iProver source info
% 4.53/1.29
% 4.53/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.53/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.53/1.29 % git: non_committed_changes: false
% 4.53/1.29
% 4.53/1.29 % ------ Parsing...
% 4.53/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.53/1.29
% 4.53/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.53/1.29
% 4.53/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.53/1.29
% 4.53/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.53/1.29 % ------ Proving...
% 4.53/1.29 % ------ Problem Properties
% 4.53/1.29
% 4.53/1.29 %
% 4.53/1.29 % clauses 7
% 4.53/1.29 % conjectures 1
% 4.53/1.29 % EPR 0
% 4.53/1.29 % Horn 7
% 4.53/1.29 % unary 6
% 4.53/1.29 % binary 1
% 4.53/1.29 % lits 8
% 4.53/1.29 % lits eq 8
% 4.53/1.29 % fd_pure 0
% 4.53/1.29 % fd_pseudo 0
% 4.53/1.29 % fd_cond 0
% 4.53/1.29 % fd_pseudo_cond 0
% 4.53/1.29 % AC symbols 0
% 4.53/1.29
% 4.53/1.29 % ------ Schedule dynamic 5 is on
% 4.53/1.29
% 4.53/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.53/1.29
% 4.53/1.29
% 4.53/1.29 % ------
% 4.53/1.29 % Current options:
% 4.53/1.29 % ------
% 4.53/1.29
% 4.53/1.29
% 4.53/1.29 %
% 4.53/1.29
% 4.53/1.29 % ------ Proving...
% 4.53/1.29 %
% 4.53/1.29
% 4.53/1.29 % SZS status Theorem for theBenchmark.p
% 4.53/1.29
% 4.53/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.53/1.29
% 4.53/1.29
%------------------------------------------------------------------------------