%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG039-1 : 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 : 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 02:38:17 PM UTC 2026
% Result : Unsatisfiable 1.52s 1.30s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] : add(X0,X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f23,plain,
! [X0] : additive_identity = add(X0,X0),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
! [X0] : multiply(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f25,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f26,axiom,
multiply(b,a) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f27,axiom,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f29,axiom,
product(b,d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f30,axiom,
product(c,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f33,axiom,
! [X0,X1] : product(a,multiply(b,X0),multiply(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f40,axiom,
product(a,d,multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f46,axiom,
! [X0] : product(multiply(X0,b),a,multiply(X0,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f55,axiom,
product(add(b,a),b,add(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f57,axiom,
product(add(a,b),a,add(a,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f61,negated_conjecture,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
tcf(c_130,plain,
! [X0: $i] : add(X0,X0) = additive_identity,
inference(cnf_transformation,[],[f23]) ).
tcf(c_131,plain,
! [X0: $i] : multiply(X0,X0) = X0,
inference(cnf_transformation,[],[f24]) ).
tcf(c_132,plain,
multiply(a,b) = c,
inference(cnf_transformation,[],[f25]) ).
tcf(c_133,plain,
multiply(b,a) = d,
inference(cnf_transformation,[],[f26]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] : sum(X0,X1,add(X1,X0)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_136,plain,
product(b,d,d),
inference(cnf_transformation,[],[f29]) ).
tcf(c_137,plain,
product(c,b,c),
inference(cnf_transformation,[],[f30]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] : product(a,multiply(b,X0),multiply(X1,X0)),
inference(cnf_transformation,[],[f33]) ).
tcf(c_147,plain,
product(a,d,multiply(c,a)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_153,plain,
! [X0: $i] : product(multiply(X0,b),a,multiply(X0,d)),
inference(cnf_transformation,[],[f46]) ).
tcf(c_162,plain,
product(add(b,a),b,add(b,c)),
inference(cnf_transformation,[],[f55]) ).
tcf(c_164,plain,
product(add(a,b),a,add(a,d)),
inference(cnf_transformation,[],[f57]) ).
tcf(c_168,negated_conjecture,
c != d,
inference(cnf_transformation,[],[f61]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(well_definedness,[status(thm)],[c_134]) ).
tcf(c_195,plain,
multiply(b,d) = d,
inference(well_definedness,[status(thm)],[c_136]) ).
tcf(c_196,plain,
multiply(c,b) = c,
inference(well_definedness,[status(thm)],[c_137]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] : multiply(a,multiply(b,X0)) = multiply(X1,X0),
inference(well_definedness,[status(thm)],[c_140]) ).
tcf(c_206,plain,
multiply(a,d) = multiply(c,a),
inference(well_definedness,[status(thm)],[c_147]) ).
tcf(c_212,plain,
! [X0: $i] : multiply(multiply(X0,b),a) = multiply(X0,d),
inference(well_definedness,[status(thm)],[c_153]) ).
tcf(c_221,plain,
multiply(add(b,a),b) = add(b,c),
inference(well_definedness,[status(thm)],[c_162]) ).
tcf(c_223,plain,
multiply(add(a,b),a) = add(a,d),
inference(well_definedness,[status(thm)],[c_164]) ).
tcf(c_450,plain,
multiply(add(a,b),b) = add(b,c),
inference(demodulation,[status(thm)],[c_221,c_193]) ).
tcf(c_459,plain,
! [X0: $i] : multiply(a,multiply(b,a)) = multiply(X0,d),
inference(demodulation,[status(thm)],[c_212,c_199]) ).
tcf(c_460,plain,
multiply(a,multiply(b,a)) = add(a,d),
inference(demodulation,[status(thm)],[c_223,c_199]) ).
tcf(c_461,plain,
multiply(a,multiply(b,b)) = add(b,c),
inference(demodulation,[status(thm)],[c_450,c_199]) ).
tcf(c_462,plain,
add(b,c) = c,
inference(demodulation,[status(thm)],[c_461,c_131,c_132]) ).
tcf(c_463,plain,
add(a,d) = multiply(a,d),
inference(light_normalisation,[status(thm)],[c_460,c_133]) ).
tcf(c_464,plain,
! [X0: $i] : multiply(X0,d) = multiply(a,d),
inference(light_normalisation,[status(thm)],[c_459,c_133]) ).
tcf(c_465,plain,
multiply(a,d) = d,
inference(demodulation,[status(thm)],[c_195,c_464]) ).
tcf(c_467,plain,
add(a,d) = d,
inference(demodulation,[status(thm)],[c_463,c_465]) ).
tcf(c_468,plain,
multiply(c,a) = d,
inference(demodulation,[status(thm)],[c_206,c_465]) ).
tcf(c_558,negated_conjecture,
c != d,
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_644,plain,
! [X0: $i] : multiply(a,multiply(b,X0)) = X0,
inference(superposition,[status(thm)],[c_199,c_131]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = X1,
inference(demodulation,[status(thm)],[c_199,c_644]) ).
tcf(c_649,plain,
b = c,
inference(demodulation,[status(thm)],[c_196,c_647]) ).
tcf(c_650,plain,
b != d,
inference(demodulation,[status(thm)],[c_558,c_649]) ).
tcf(c_651,plain,
add(b,b) = b,
inference(light_normalisation,[status(thm)],[c_462,c_649]) ).
tcf(c_652,plain,
additive_identity = b,
inference(demodulation,[status(thm)],[c_651,c_130]) ).
tcf(c_653,plain,
additive_identity != d,
inference(demodulation,[status(thm)],[c_650,c_652]) ).
tcf(c_654,plain,
additive_identity = c,
inference(demodulation,[status(thm)],[c_649,c_652]) ).
tcf(c_655,plain,
multiply(additive_identity,a) = d,
inference(light_normalisation,[status(thm)],[c_468,c_654]) ).
tcf(c_656,plain,
a = d,
inference(demodulation,[status(thm)],[c_655,c_647]) ).
tcf(c_657,plain,
add(a,a) = a,
inference(demodulation,[status(thm)],[c_467,c_656]) ).
tcf(c_658,plain,
additive_identity != a,
inference(demodulation,[status(thm)],[c_653,c_656]) ).
tcf(c_661,plain,
additive_identity = a,
inference(demodulation,[status(thm)],[c_657,c_130]) ).
tcf(c_662,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_661,c_658]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG039-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 07:58:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.52/1.30 % SZS status Started for theBenchmark.p
% 1.52/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.52/1.30
% 1.52/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.52/1.30
% 1.52/1.30 % ------ iProver source info
% 1.52/1.30
% 1.52/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.52/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.52/1.30 % git: non_committed_changes: false
% 1.52/1.30
% 1.52/1.30 % ------ Parsing...% successful
% 1.52/1.30
% 1.52/1.30
% 1.52/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.52/1.30
% 1.52/1.30 % ------ Preprocessing... sup_sim: 57 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 %
% 1.52/1.30
% 1.52/1.30 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 1.52/1.30 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.52/1.30
% 1.52/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.52/1.30 % ------ Proving...
% 1.52/1.30 % ------ Problem Properties
% 1.52/1.30
% 1.52/1.30 %
% 1.52/1.30 % clauses 27
% 1.52/1.30 % conjectures 1
% 1.52/1.30 % EPR 1
% 1.52/1.30 % Horn 27
% 1.52/1.30 % unary 27
% 1.52/1.30 % binary 0
% 1.52/1.30 % lits 27
% 1.52/1.30 % lits eq 27
% 1.52/1.30 % fd_pure 0
% 1.52/1.30 % fd_pseudo 0
% 1.52/1.30 % fd_cond 0
% 1.52/1.30 % fd_pseudo_cond 0
% 1.52/1.30 % AC symbols 1
% 1.52/1.30
% 1.52/1.30 % ------ Schedule UEQ
% 1.52/1.30
% 1.52/1.30 % ------ Option_UEQ Time Limit: 10.
% 1.52/1.30
% 1.52/1.30
% 1.52/1.30 % ------
% 1.52/1.30 % Current options:
% 1.52/1.30 % ------
% 1.52/1.30
% 1.52/1.30
% 1.52/1.30 %
% 1.52/1.30
% 1.52/1.30 % ------ Proving...
% 1.52/1.30 %
% 1.52/1.30
% 1.52/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.52/1.30
% 1.52/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.30
% 3.16/1.30
%------------------------------------------------------------------------------