%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ROB014-1 : 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 : n018.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 02:39:43 PM UTC 2026
% Result : Unsatisfiable 1.05s 1.76s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 76 unt; 6 def)
% Number of atoms : 228 ( 75 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
! [X0] : multiply(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-1.ax',one_times_x) ).
fof(f8,axiom,
negate(add(negate(e),negate(add(d,negate(e))))) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f9,plain,
d = negate(add(negate(e),negate(add(d,negate(e))))),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
negate(add(e,multiply(one,add(d,negate(add(d,negate(e))))))) != negate(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_base_step) ).
fof(f11,plain,
negate(e) != negate(add(e,multiply(one,add(d,negate(add(d,negate(e))))))),
inference(reorient_equations,[],[f10]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i] : multiply(one,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
negate(add(negate(e),negate(add(d,negate(e))))) = d,
inference(cnf_transformation,[],[f9]) ).
tcf(c_66,negated_conjecture,
negate(add(e,multiply(one,add(d,negate(add(d,negate(e))))))) != negate(e),
inference(cnf_transformation,[],[f11]) ).
tcf(c_101,plain,
negate(add(e,add(d,negate(add(d,negate(e)))))) != negate(e),
inference(demodulation,[status(thm)],[c_66,c_61]) ).
tcf(c_109,definition,
iPr_def_10 = negate(e),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_110,definition,
iPr_def_11 = add(d,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_111,definition,
iPr_def_12 = negate(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_112,definition,
iPr_def_13 = add(d,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_113,definition,
iPr_def_14 = add(e,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_114,definition,
iPr_def_15 = negate(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_115,plain,
iPr_def_15 != iPr_def_10,
inference(demodulation,[status(thm)],[c_101,c_109,c_110,c_111,c_112,c_113,c_114]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_59,c_58]) ).
tcf(c_258,plain,
add(iPr_def_10,d) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_110,c_59,c_58]) ).
tcf(c_259,plain,
add(iPr_def_12,d) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_112,c_59,c_58]) ).
tcf(c_260,plain,
add(iPr_def_13,e) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_113,c_59,c_58]) ).
tcf(c_267,plain,
negate(add(iPr_def_10,negate(add(d,iPr_def_10)))) = d,
inference(light_normalisation,[status(thm)],[c_65,c_109]) ).
tcf(c_268,plain,
negate(add(iPr_def_10,iPr_def_12)) = d,
inference(demodulation,[status(thm)],[c_267,c_58,c_111,c_258]) ).
tcf(c_328,plain,
! [X0: $i] : add(iPr_def_10,add(X0,d)) = add(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_258,c_253]) ).
tcf(c_329,plain,
! [X0: $i] : add(iPr_def_12,add(X0,d)) = add(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_259,c_253]) ).
tcf(c_371,plain,
! [X0: $i] : add(iPr_def_10,add(d,X0)) = add(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_58,c_328]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i] : negate(add(negate(add(X0,add(X1,X2))),negate(add(X1,negate(add(X0,X2)))))) = X1,
inference(superposition,[status(thm)],[c_253,c_60]) ).
tcf(c_510,plain,
negate(add(negate(iPr_def_14),negate(add(iPr_def_13,negate(e))))) = iPr_def_13,
inference(superposition,[status(thm)],[c_260,c_60]) ).
tcf(c_511,plain,
! [X0: $i] : negate(add(negate(add(X0,iPr_def_11)),negate(add(iPr_def_10,negate(add(d,X0)))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_371,c_60]) ).
tcf(c_527,plain,
! [X0: $i] : negate(add(negate(add(X0,e)),negate(add(X0,iPr_def_10)))) = X0,
inference(superposition,[status(thm)],[c_109,c_60]) ).
tcf(c_529,plain,
! [X0: $i] : negate(add(negate(add(X0,iPr_def_11)),negate(add(X0,iPr_def_12)))) = X0,
inference(superposition,[status(thm)],[c_111,c_60]) ).
tcf(c_530,plain,
! [X0: $i] : negate(add(negate(add(X0,iPr_def_14)),negate(add(X0,iPr_def_15)))) = X0,
inference(superposition,[status(thm)],[c_114,c_60]) ).
tcf(c_535,plain,
negate(add(iPr_def_15,negate(add(iPr_def_13,iPr_def_10)))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_510,c_109,c_114]) ).
tcf(c_536,plain,
negate(add(iPr_def_15,negate(add(iPr_def_10,iPr_def_13)))) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_535,c_59,c_58]) ).
tcf(c_538,plain,
! [X0: $i] : negate(add(negate(add(X0,iPr_def_10)),negate(add(X0,e)))) = X0,
inference(theory_normalisation,[status(thm)],[c_527,c_59,c_58]) ).
tcf(c_686,plain,
negate(add(negate(add(iPr_def_15,add(iPr_def_10,iPr_def_13))),iPr_def_13)) = iPr_def_15,
inference(superposition,[status(thm)],[c_536,c_60]) ).
tcf(c_687,plain,
negate(add(iPr_def_13,negate(add(iPr_def_10,add(iPr_def_13,iPr_def_15))))) = iPr_def_15,
inference(theory_normalisation,[status(thm)],[c_686,c_59,c_58]) ).
tcf(c_1115,plain,
! [X0: $i] : negate(add(negate(add(X0,iPr_def_11)),negate(add(iPr_def_12,X0)))) = X0,
inference(superposition,[status(thm)],[c_58,c_529]) ).
tcf(c_1208,plain,
! [X0: $i] : negate(add(negate(add(X0,iPr_def_14)),negate(add(iPr_def_15,X0)))) = X0,
inference(superposition,[status(thm)],[c_58,c_530]) ).
tcf(c_1224,plain,
! [X0: $i] : negate(add(negate(add(iPr_def_10,X0)),negate(add(X0,e)))) = X0,
inference(superposition,[status(thm)],[c_58,c_538]) ).
tcf(c_1675,plain,
negate(add(d,negate(add(iPr_def_12,e)))) = iPr_def_12,
inference(superposition,[status(thm)],[c_268,c_1224]) ).
tcf(c_1683,plain,
negate(add(negate(iPr_def_11),negate(add(d,e)))) = d,
inference(superposition,[status(thm)],[c_258,c_1224]) ).
tcf(c_1699,plain,
negate(add(negate(iPr_def_11),negate(add(e,d)))) = d,
inference(theory_normalisation,[status(thm)],[c_1683,c_59,c_58]) ).
tcf(c_1700,plain,
negate(add(iPr_def_12,negate(add(e,d)))) = d,
inference(light_normalisation,[status(thm)],[c_1699,c_111]) ).
tcf(c_1770,plain,
negate(add(negate(add(d,add(iPr_def_12,e))),iPr_def_12)) = d,
inference(superposition,[status(thm)],[c_1675,c_60]) ).
tcf(c_1771,plain,
negate(add(iPr_def_12,negate(add(iPr_def_12,add(e,d))))) = d,
inference(theory_normalisation,[status(thm)],[c_1770,c_59,c_58]) ).
tcf(c_1782,plain,
negate(add(negate(add(iPr_def_12,add(e,d))),d)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1700,c_60]) ).
tcf(c_1784,plain,
negate(add(d,negate(add(iPr_def_12,add(e,d))))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_1782,c_59,c_58]) ).
tcf(c_1790,plain,
negate(add(iPr_def_12,iPr_def_15)) = d,
inference(demodulation,[status(thm)],[c_1771,c_58,c_114,c_260,c_329]) ).
tcf(c_1794,plain,
negate(add(negate(add(iPr_def_12,iPr_def_14)),d)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1790,c_530]) ).
tcf(c_1797,plain,
negate(add(d,negate(add(iPr_def_12,iPr_def_14)))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_1794,c_59,c_58]) ).
tcf(c_1825,plain,
negate(add(negate(add(d,add(iPr_def_12,iPr_def_14))),iPr_def_12)) = d,
inference(superposition,[status(thm)],[c_1797,c_60]) ).
tcf(c_1826,plain,
negate(add(iPr_def_12,negate(add(iPr_def_12,add(iPr_def_14,d))))) = d,
inference(theory_normalisation,[status(thm)],[c_1825,c_59,c_58]) ).
tcf(c_1849,plain,
negate(add(iPr_def_15,d)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_1784,c_58,c_114,c_260,c_329]) ).
tcf(c_1852,plain,
negate(add(negate(add(d,iPr_def_14)),iPr_def_12)) = d,
inference(superposition,[status(thm)],[c_1849,c_1208]) ).
tcf(c_1853,plain,
negate(add(iPr_def_12,negate(add(iPr_def_14,d)))) = d,
inference(theory_normalisation,[status(thm)],[c_1852,c_59,c_58]) ).
tcf(c_1858,plain,
negate(add(negate(add(iPr_def_12,add(iPr_def_14,d))),d)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1853,c_60]) ).
tcf(c_1860,plain,
negate(add(d,negate(add(iPr_def_12,add(iPr_def_14,d))))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_1858,c_59,c_58]) ).
tcf(c_1898,plain,
negate(add(iPr_def_12,negate(add(iPr_def_13,iPr_def_14)))) = d,
inference(demodulation,[status(thm)],[c_1826,c_58,c_329]) ).
tcf(c_1902,plain,
negate(add(negate(add(negate(add(iPr_def_13,iPr_def_14)),iPr_def_11)),d)) = negate(add(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_1898,c_1115]) ).
tcf(c_1904,plain,
negate(add(d,negate(add(iPr_def_11,negate(add(iPr_def_13,iPr_def_14)))))) = negate(add(iPr_def_13,iPr_def_14)),
inference(theory_normalisation,[status(thm)],[c_1902,c_59,c_58]) ).
tcf(c_1913,plain,
negate(add(d,negate(add(iPr_def_13,iPr_def_14)))) = iPr_def_12,
inference(demodulation,[status(thm)],[c_1860,c_58,c_329]) ).
tcf(c_13214,plain,
negate(add(negate(add(negate(add(iPr_def_13,iPr_def_14)),iPr_def_11)),negate(add(iPr_def_10,iPr_def_12)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_1913,c_511]) ).
tcf(c_13240,plain,
negate(add(negate(add(iPr_def_10,iPr_def_12)),negate(add(iPr_def_11,negate(add(iPr_def_13,iPr_def_14)))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_13214,c_59,c_58]) ).
tcf(c_13241,plain,
negate(add(iPr_def_13,iPr_def_14)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_13240,c_268,c_1904]) ).
tcf(c_13407,plain,
negate(add(iPr_def_10,negate(add(iPr_def_13,iPr_def_15)))) = iPr_def_13,
inference(superposition,[status(thm)],[c_13241,c_530]) ).
tcf(c_13537,plain,
negate(add(negate(add(iPr_def_13,add(iPr_def_10,iPr_def_15))),iPr_def_13)) = iPr_def_10,
inference(superposition,[status(thm)],[c_13407,c_506]) ).
tcf(c_13541,plain,
negate(add(iPr_def_13,negate(add(iPr_def_10,add(iPr_def_13,iPr_def_15))))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_13537,c_59,c_58]) ).
tcf(c_13551,plain,
iPr_def_10 = iPr_def_15,
inference(demodulation,[status(thm)],[c_687,c_13541]) ).
tcf(c_13580,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_115,c_13551]) ).
tcf(c_13581,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_13580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 08:28:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.05/1.76 % SZS status Started for theBenchmark.p
% 1.05/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.05/1.76
% 1.05/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.05/1.76
% 1.05/1.76 % ------ iProver source info
% 1.05/1.76
% 1.05/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.05/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.05/1.76 % git: non_committed_changes: false
% 1.05/1.76
% 1.05/1.76 % ------ Parsing...% successful
% 1.05/1.76
% 1.05/1.76
% 1.05/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.05/1.76
% 1.05/1.76 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.05/1.76
% 1.05/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.05/1.76
% 1.05/1.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.05/1.76 % ------ Proving...
% 1.05/1.76 % ------ Problem Properties
% 1.05/1.76
% 1.05/1.76 %
% 1.05/1.76 % clauses 15
% 1.05/1.76 % conjectures 0
% 1.05/1.76 % EPR 2
% 1.05/1.76 % Horn 15
% 1.05/1.76 % unary 13
% 1.05/1.76 % binary 2
% 1.05/1.76 % lits 17
% 1.05/1.76 % lits eq 13
% 1.05/1.76 % fd_pure 0
% 1.05/1.76 % fd_pseudo 0
% 1.05/1.76 % fd_cond 0
% 1.05/1.76 % fd_pseudo_cond 0
% 1.05/1.76 % AC symbols 1
% 1.05/1.76
% 1.05/1.76 % ------ Schedule dynamic 5 is on
% 1.05/1.76
% 1.05/1.76 % ------ no conjectures: strip conj schedule
% 1.05/1.76
% 1.05/1.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.05/1.76
% 1.05/1.76
% 1.05/1.76 % ------
% 1.05/1.76 % Current options:
% 1.05/1.76 % ------
% 1.05/1.76
% 1.05/1.76
% 1.05/1.76 %
% 1.05/1.76
% 1.05/1.76 % ------ Proving...
% 1.05/1.76 %
% 1.05/1.76
% 1.05/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.05/1.76
% 1.05/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.05/1.76
% 1.05/1.76
%------------------------------------------------------------------------------