%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG038-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:38:16 PM UTC 2026
% Result : Unsatisfiable 3.18s 1.27s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 25 unt; 0 def)
% Number of atoms : 88 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 28 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X2,X3,X5)
| ~ sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X5,X1,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
fof(f18,axiom,
! [X0,X1] :
( product(X0,h(X0,X1),X1)
| X0 != additive_identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_property) ).
fof(f19,plain,
! [X0,X1] :
( product(X0,h(X0,X1),X1)
| additive_identity != X0 ),
inference(reorient_equations,[],[f18]) ).
fof(f23,negated_conjecture,
b != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
fof(f24,plain,
additive_identity != b,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X1] : product(additive_identity,h(additive_identity,X1),X1),
inference(equality_resolution,[],[f19]) ).
tcf(c_70,plain,
! [X0: $i] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_71,plain,
! [X0: $i] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_75,plain,
! [X0: $i] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[],[f6]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X2,X5,X4)
| ~ sum(X1,X5,X3)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( product(X5,X1,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_87,plain,
! [X0: $i] : product(additive_identity,h(additive_identity,X0),X0),
inference(cnf_transformation,[],[f25]) ).
tcf(c_90,negated_conjecture,
additive_identity != b,
inference(cnf_transformation,[],[f24]) ).
tcf(c_100,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_70]) ).
tcf(c_101,plain,
! [X0: $i] : add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_71]) ).
tcf(c_105,plain,
! [X0: $i] : add(X0,additive_inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_75]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( add(X2,X5) = X4 )
| ( add(X1,X5) != X3 )
| ( add(X0,X3) != X4 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_77]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( multiply(X5,X1) = X6 )
| ( add(X2,X4) != X6 )
| ( add(X0,X3) != X5 )
| ( multiply(X3,X1) != X4 )
| ( multiply(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_84]) ).
tcf(c_128,plain,
! [X0: $i] : multiply(additive_identity,h(additive_identity,X0)) = X0,
inference(well_definedness,[status(thm)],[c_87]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_108]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_122]) ).
tcf(c_295,negated_conjecture,
additive_identity != b,
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] : add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_251,c_105]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] : add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_100,c_253]) ).
tcf(c_536,plain,
! [X0: $i] : add(X0,X0) = X0,
inference(superposition,[status(thm)],[c_128,c_374]) ).
tcf(c_553,plain,
! [X0: $i] : add(X0,add(X0,additive_inverse(X0))) = additive_identity,
inference(superposition,[status(thm)],[c_536,c_372]) ).
tcf(c_565,plain,
! [X0: $i] : X0 = additive_identity,
inference(light_normalisation,[status(thm)],[c_553,c_101,c_105]) ).
tcf(c_572,plain,
additive_identity != additive_identity,
inference(demodulation,[status(thm)],[c_295,c_565]) ).
tcf(c_588,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 07:55:17 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.18/1.27 % SZS status Started for theBenchmark.p
% 3.18/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.18/1.27
% 3.18/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.18/1.27
% 3.18/1.27 % ------ iProver source info
% 3.18/1.27
% 3.18/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.18/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.18/1.27 % git: non_committed_changes: false
% 3.18/1.27
% 3.18/1.27 % ------ Parsing...% successful
% 3.18/1.27
% 3.18/1.27
% 3.18/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.18/1.27
% 3.18/1.27 % ------ Preprocessing... sup_sim: 15 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 %
% 3.18/1.27
% 3.18/1.27 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 3.18/1.27 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.18/1.27
% 3.18/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.18/1.27 % ------ Proving...
% 3.18/1.27 % ------ Problem Properties
% 3.18/1.27
% 3.18/1.27 %
% 3.18/1.27 % clauses 12
% 3.18/1.27 % conjectures 2
% 3.18/1.27 % EPR 2
% 3.18/1.27 % Horn 12
% 3.18/1.27 % unary 12
% 3.18/1.27 % binary 0
% 3.18/1.27 % lits 12
% 3.18/1.27 % lits eq 12
% 3.18/1.27 % fd_pure 0
% 3.18/1.27 % fd_pseudo 0
% 3.18/1.27 % fd_cond 0
% 3.18/1.27 % fd_pseudo_cond 0
% 3.18/1.27 % AC symbols 1
% 3.18/1.27
% 3.18/1.27 % ------ Schedule UEQ
% 3.18/1.27
% 3.18/1.27 % ------ Option_UEQ Time Limit: 10.
% 3.18/1.27
% 3.18/1.27
% 3.18/1.27 % ------
% 3.18/1.27 % Current options:
% 3.18/1.27 % ------
% 3.18/1.27
% 3.18/1.27
% 3.18/1.27 %
% 3.18/1.27
% 3.18/1.27 % ------ Proving...
% 3.18/1.27 %
% 3.18/1.27
% 3.18/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.18/1.27
% 3.18/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.18/1.27
% 3.18/1.27
%------------------------------------------------------------------------------