%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 03:33:48 PM UTC 2026
% Result : Unsatisfiable 6.27s 1.28s
% Output : Proof 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 184 ( 72 unt; 0 def)
% Number of atoms : 404 ( 62 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 446 ( 226 ~; 220 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 140 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f27,axiom,
( ~ p_15(X)
| ~ p_14(X)
| p_13(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_27) ).
fof(f27_nnf,plain,
! [X] :
( ~ p_15(X)
| ~ p_14(X)
| p_13(X) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X] :
( ~ p_15(X)
| ~ p_14(X)
| p_13(X) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p_15(X0)
| ~ p_14(X0)
| p_13(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi26,axiom,
ifeq(p_14(X0),true,ifeq(p_15(X0),true,p_13(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f61,axiom,
p_14(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_1) ).
fof(f61_nnf,plain,
p_14(a),
inference(nnf_transformation,[status(thm)],[f61]) ).
cnf(c61,plain,
p_14(a),
inference(cnf_transformation,[status(esa)],[f61_nnf]) ).
cnf(hi60,axiom,
p_14(a) = true,
inference(equality_encoding,[status(esa)],[c61]) ).
cnf(f62,axiom,
p_15(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_2) ).
fof(f62_nnf,plain,
p_15(a),
inference(nnf_transformation,[status(thm)],[f62]) ).
cnf(c62,plain,
p_15(a),
inference(cnf_transformation,[status(esa)],[f62_nnf]) ).
cnf(hi61,axiom,
p_15(a) = true,
inference(equality_encoding,[status(esa)],[c62]) ).
cnf(h0,plain,
p_13(a) = true,
inference(hyper_resolution,[status(thm)],[hi26,hi60,hi61]) ).
cnf(f53,axiom,
( ~ q_14(X)
| ~ p_13(X)
| q_12(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_25) ).
fof(f53_nnf,plain,
! [X] :
( ~ q_14(X)
| ~ p_13(X)
| q_12(X) ),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [X] :
( ~ q_14(X)
| ~ p_13(X)
| q_12(X) ),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
( ~ q_14(X0)
| ~ p_13(X0)
| q_12(X0) ),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(hi52,axiom,
ifeq(p_13(X0),true,ifeq(q_14(X0),true,q_12(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c53]) ).
cnf(f63,axiom,
q_14(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_3) ).
fof(f63_nnf,plain,
q_14(a),
inference(nnf_transformation,[status(thm)],[f63]) ).
cnf(c63,plain,
q_14(a),
inference(cnf_transformation,[status(esa)],[f63_nnf]) ).
cnf(hi62,axiom,
q_14(a) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
cnf(h2,plain,
q_12(a) = true,
inference(hyper_resolution,[status(thm)],[hi52,h0,hi62]) ).
cnf(f52,axiom,
( ~ p_13(X)
| ~ q_12(X)
| q_11(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_24) ).
fof(f52_nnf,plain,
! [X] :
( ~ p_13(X)
| ~ q_12(X)
| q_11(X) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [X] :
( ~ p_13(X)
| ~ q_12(X)
| q_11(X) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c52,plain,
( ~ p_13(X0)
| ~ q_12(X0)
| q_11(X0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi51,axiom,
ifeq(q_12(X0),true,ifeq(p_13(X0),true,q_11(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c52]) ).
cnf(h4,plain,
q_11(a) = true,
inference(hyper_resolution,[status(thm)],[hi51,h2,h0]) ).
cnf(f22,axiom,
( ~ q_12(X)
| ~ q_11(X)
| p_10(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_22) ).
fof(f22_nnf,plain,
! [X] :
( ~ q_12(X)
| ~ q_11(X)
| p_10(X) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X] :
( ~ q_12(X)
| ~ q_11(X)
| p_10(X) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ q_12(X0)
| ~ q_11(X0)
| p_10(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi21,axiom,
ifeq(q_11(X0),true,ifeq(q_12(X0),true,p_10(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(h7,plain,
p_10(a) = true,
inference(hyper_resolution,[status(thm)],[hi21,h4,h2]) ).
cnf(f56,axiom,
( ~ p_15(X)
| ~ q_14(X)
| q_13(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_28) ).
fof(f56_nnf,plain,
! [X] :
( ~ p_15(X)
| ~ q_14(X)
| q_13(X) ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
! [X] :
( ~ p_15(X)
| ~ q_14(X)
| q_13(X) ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c56,plain,
( ~ p_15(X0)
| ~ q_14(X0)
| q_13(X0) ),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(hi55,axiom,
ifeq(q_14(X0),true,ifeq(p_15(X0),true,q_13(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
cnf(h1,plain,
q_13(a) = true,
inference(hyper_resolution,[status(thm)],[hi55,hi62,hi61]) ).
cnf(f24,axiom,
( ~ q_13(X)
| ~ q_12(X)
| p_11(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_24) ).
fof(f24_nnf,plain,
! [X] :
( ~ q_13(X)
| ~ q_12(X)
| p_11(X) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X] :
( ~ q_13(X)
| ~ q_12(X)
| p_11(X) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ~ q_13(X0)
| ~ q_12(X0)
| p_11(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(hi23,axiom,
ifeq(q_12(X0),true,ifeq(q_13(X0),true,p_11(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(h5,plain,
p_11(a) = true,
inference(hyper_resolution,[status(thm)],[hi23,h2,h1]) ).
cnf(f25,axiom,
( ~ p_14(X)
| ~ p_13(X)
| p_12(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_25) ).
fof(f25_nnf,plain,
! [X] :
( ~ p_14(X)
| ~ p_13(X)
| p_12(X) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X] :
( ~ p_14(X)
| ~ p_13(X)
| p_12(X) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p_14(X0)
| ~ p_13(X0)
| p_12(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi24,axiom,
ifeq(p_13(X0),true,ifeq(p_14(X0),true,p_12(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h3,plain,
p_12(a) = true,
inference(hyper_resolution,[status(thm)],[hi24,h0,hi60]) ).
cnf(f50,axiom,
( ~ p_12(X)
| ~ q_11(X)
| q_10(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_22) ).
fof(f50_nnf,plain,
! [X] :
( ~ p_12(X)
| ~ q_11(X)
| q_10(X) ),
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
! [X] :
( ~ p_12(X)
| ~ q_11(X)
| q_10(X) ),
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c50,plain,
( ~ p_12(X0)
| ~ q_11(X0)
| q_10(X0) ),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(hi49,axiom,
ifeq(q_11(X0),true,ifeq(p_12(X0),true,q_10(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c50]) ).
cnf(h6,plain,
q_10(a) = true,
inference(hyper_resolution,[status(thm)],[hi49,h4,h3]) ).
cnf(f48,axiom,
( ~ p_11(X)
| ~ q_10(X)
| q_9(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_20) ).
fof(f48_nnf,plain,
! [X] :
( ~ p_11(X)
| ~ q_10(X)
| q_9(X) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [X] :
( ~ p_11(X)
| ~ q_10(X)
| q_9(X) ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( ~ p_11(X0)
| ~ q_10(X0)
| q_9(X0) ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(hi47,axiom,
ifeq(q_10(X0),true,ifeq(p_11(X0),true,q_9(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
cnf(h8,plain,
q_9(a) = true,
inference(hyper_resolution,[status(thm)],[hi47,h6,h5]) ).
cnf(f46,axiom,
( ~ p_10(X)
| ~ q_9(X)
| q_8(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_18) ).
fof(f46_nnf,plain,
! [X] :
( ~ p_10(X)
| ~ q_9(X)
| q_8(X) ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [X] :
( ~ p_10(X)
| ~ q_9(X)
| q_8(X) ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
( ~ p_10(X0)
| ~ q_9(X0)
| q_8(X0) ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(hi45,axiom,
ifeq(q_9(X0),true,ifeq(p_10(X0),true,q_8(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c46]) ).
cnf(h10,plain,
q_8(a) = true,
inference(hyper_resolution,[status(thm)],[hi45,h8,h7]) ).
cnf(f20,axiom,
( ~ q_11(X)
| ~ q_10(X)
| p_9(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_20) ).
fof(f20_nnf,plain,
! [X] :
( ~ q_11(X)
| ~ q_10(X)
| p_9(X) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X] :
( ~ q_11(X)
| ~ q_10(X)
| p_9(X) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( ~ q_11(X0)
| ~ q_10(X0)
| p_9(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi19,axiom,
ifeq(q_10(X0),true,ifeq(q_11(X0),true,p_9(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(h9,plain,
p_9(a) = true,
inference(hyper_resolution,[status(thm)],[hi19,h6,h4]) ).
cnf(f44,axiom,
( ~ p_9(X)
| ~ q_8(X)
| q_7(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_16) ).
fof(f44_nnf,plain,
! [X] :
( ~ p_9(X)
| ~ q_8(X)
| q_7(X) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [X] :
( ~ p_9(X)
| ~ q_8(X)
| q_7(X) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( ~ p_9(X0)
| ~ q_8(X0)
| q_7(X0) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(hi43,axiom,
ifeq(q_8(X0),true,ifeq(p_9(X0),true,q_7(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
cnf(h13,plain,
q_7(a) = true,
inference(hyper_resolution,[status(thm)],[hi43,h10,h9]) ).
cnf(f14,axiom,
( ~ q_8(X)
| ~ q_7(X)
| p_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_14) ).
fof(f14_nnf,plain,
! [X] :
( ~ q_8(X)
| ~ q_7(X)
| p_6(X) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X] :
( ~ q_8(X)
| ~ q_7(X)
| p_6(X) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ q_8(X0)
| ~ q_7(X0)
| p_6(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi13,axiom,
ifeq(q_7(X0),true,ifeq(q_8(X0),true,p_6(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h17,plain,
p_6(a) = true,
inference(hyper_resolution,[status(thm)],[hi13,h13,h10]) ).
cnf(f16,axiom,
( ~ q_9(X)
| ~ q_8(X)
| p_7(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_16) ).
fof(f16_nnf,plain,
! [X] :
( ~ q_9(X)
| ~ q_8(X)
| p_7(X) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X] :
( ~ q_9(X)
| ~ q_8(X)
| p_7(X) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ q_9(X0)
| ~ q_8(X0)
| p_7(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi15,axiom,
ifeq(q_8(X0),true,ifeq(q_9(X0),true,p_7(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h14,plain,
p_7(a) = true,
inference(hyper_resolution,[status(thm)],[hi15,h10,h8]) ).
cnf(f18,axiom,
( ~ q_10(X)
| ~ q_9(X)
| p_8(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_18) ).
fof(f18_nnf,plain,
! [X] :
( ~ q_10(X)
| ~ q_9(X)
| p_8(X) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X] :
( ~ q_10(X)
| ~ q_9(X)
| p_8(X) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ q_10(X0)
| ~ q_9(X0)
| p_8(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi17,axiom,
ifeq(q_9(X0),true,ifeq(q_10(X0),true,p_8(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h11,plain,
p_8(a) = true,
inference(hyper_resolution,[status(thm)],[hi17,h8,h6]) ).
cnf(f42,axiom,
( ~ p_8(X)
| ~ q_7(X)
| q_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_14) ).
fof(f42_nnf,plain,
! [X] :
( ~ p_8(X)
| ~ q_7(X)
| q_6(X) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [X] :
( ~ p_8(X)
| ~ q_7(X)
| q_6(X) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c42,plain,
( ~ p_8(X0)
| ~ q_7(X0)
| q_6(X0) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(hi41,axiom,
ifeq(q_7(X0),true,ifeq(p_8(X0),true,q_6(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c42]) ).
cnf(h16,plain,
q_6(a) = true,
inference(hyper_resolution,[status(thm)],[hi41,h13,h11]) ).
cnf(f40,axiom,
( ~ p_7(X)
| ~ q_6(X)
| q_5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_12) ).
fof(f40_nnf,plain,
! [X] :
( ~ p_7(X)
| ~ q_6(X)
| q_5(X) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X] :
( ~ p_7(X)
| ~ q_6(X)
| q_5(X) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ p_7(X0)
| ~ q_6(X0)
| q_5(X0) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi39,axiom,
ifeq(q_6(X0),true,ifeq(p_7(X0),true,q_5(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(h18,plain,
q_5(a) = true,
inference(hyper_resolution,[status(thm)],[hi39,h16,h14]) ).
cnf(f38,axiom,
( ~ p_6(X)
| ~ q_5(X)
| q_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_10) ).
fof(f38_nnf,plain,
! [X] :
( ~ p_6(X)
| ~ q_5(X)
| q_4(X) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [X] :
( ~ p_6(X)
| ~ q_5(X)
| q_4(X) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( ~ p_6(X0)
| ~ q_5(X0)
| q_4(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi37,axiom,
ifeq(q_5(X0),true,ifeq(p_6(X0),true,q_4(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(h20,plain,
q_4(a) = true,
inference(hyper_resolution,[status(thm)],[hi37,h18,h17]) ).
cnf(f12,axiom,
( ~ q_7(X)
| ~ q_6(X)
| p_5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_12) ).
fof(f12_nnf,plain,
! [X] :
( ~ q_7(X)
| ~ q_6(X)
| p_5(X) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X] :
( ~ q_7(X)
| ~ q_6(X)
| p_5(X) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ q_7(X0)
| ~ q_6(X0)
| p_5(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi11,axiom,
ifeq(q_6(X0),true,ifeq(q_7(X0),true,p_5(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h19,plain,
p_5(a) = true,
inference(hyper_resolution,[status(thm)],[hi11,h16,h13]) ).
cnf(f36,axiom,
( ~ p_5(X)
| ~ q_4(X)
| q_3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_8) ).
fof(f36_nnf,plain,
! [X] :
( ~ p_5(X)
| ~ q_4(X)
| q_3(X) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [X] :
( ~ p_5(X)
| ~ q_4(X)
| q_3(X) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( ~ p_5(X0)
| ~ q_4(X0)
| q_3(X0) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(hi35,axiom,
ifeq(q_4(X0),true,ifeq(p_5(X0),true,q_3(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c36]) ).
cnf(h22,plain,
q_3(a) = true,
inference(hyper_resolution,[status(thm)],[hi35,h20,h19]) ).
cnf(f6,axiom,
( ~ q_4(X)
| ~ q_3(X)
| p_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_6) ).
fof(f6_nnf,plain,
! [X] :
( ~ q_4(X)
| ~ q_3(X)
| p_2(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( ~ q_4(X)
| ~ q_3(X)
| p_2(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ q_4(X0)
| ~ q_3(X0)
| p_2(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi5,axiom,
ifeq(q_3(X0),true,ifeq(q_4(X0),true,p_2(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h25,plain,
p_2(a) = true,
inference(hyper_resolution,[status(thm)],[hi5,h22,h20]) ).
cnf(f8,axiom,
( ~ q_5(X)
| ~ q_4(X)
| p_3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_8) ).
fof(f8_nnf,plain,
! [X] :
( ~ q_5(X)
| ~ q_4(X)
| p_3(X) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( ~ q_5(X)
| ~ q_4(X)
| p_3(X) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ q_5(X0)
| ~ q_4(X0)
| p_3(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi7,axiom,
ifeq(q_4(X0),true,ifeq(q_5(X0),true,p_3(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h23,plain,
p_3(a) = true,
inference(hyper_resolution,[status(thm)],[hi7,h20,h18]) ).
cnf(f10,axiom,
( ~ q_6(X)
| ~ q_5(X)
| p_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_10) ).
fof(f10_nnf,plain,
! [X] :
( ~ q_6(X)
| ~ q_5(X)
| p_4(X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( ~ q_6(X)
| ~ q_5(X)
| p_4(X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ q_6(X0)
| ~ q_5(X0)
| p_4(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi9,axiom,
ifeq(q_5(X0),true,ifeq(q_6(X0),true,p_4(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h21,plain,
p_4(a) = true,
inference(hyper_resolution,[status(thm)],[hi9,h18,h16]) ).
cnf(f34,axiom,
( ~ p_4(X)
| ~ q_3(X)
| q_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_6) ).
fof(f34_nnf,plain,
! [X] :
( ~ p_4(X)
| ~ q_3(X)
| q_2(X) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X] :
( ~ p_4(X)
| ~ q_3(X)
| q_2(X) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( ~ p_4(X0)
| ~ q_3(X0)
| q_2(X0) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(hi33,axiom,
ifeq(q_3(X0),true,ifeq(p_4(X0),true,q_2(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c34]) ).
cnf(h24,plain,
q_2(a) = true,
inference(hyper_resolution,[status(thm)],[hi33,h22,h21]) ).
cnf(f32,axiom,
( ~ p_3(X)
| ~ q_2(X)
| q_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_4) ).
fof(f32_nnf,plain,
! [X] :
( ~ p_3(X)
| ~ q_2(X)
| q_1(X) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [X] :
( ~ p_3(X)
| ~ q_2(X)
| q_1(X) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( ~ p_3(X0)
| ~ q_2(X0)
| q_1(X0) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(hi31,axiom,
ifeq(q_2(X0),true,ifeq(p_3(X0),true,q_1(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(h26,plain,
q_1(a) = true,
inference(hyper_resolution,[status(thm)],[hi31,h24,h23]) ).
cnf(f30,axiom,
( ~ p_2(X)
| ~ q_1(X)
| q_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_2) ).
fof(f30_nnf,plain,
! [X] :
( ~ p_2(X)
| ~ q_1(X)
| q_0(X) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X] :
( ~ p_2(X)
| ~ q_1(X)
| q_0(X) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p_2(X0)
| ~ q_1(X0)
| q_0(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi29,axiom,
ifeq(q_1(X0),true,ifeq(p_2(X0),true,q_0(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(h28,plain,
q_0(a) = true,
inference(hyper_resolution,[status(thm)],[hi29,h26,h25]) ).
cnf(f2,axiom,
( ~ q_2(X)
| ~ q_1(X)
| p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_2) ).
fof(f2_nnf,plain,
! [X] :
( ~ q_2(X)
| ~ q_1(X)
| p_0(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ~ q_2(X)
| ~ q_1(X)
| p_0(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ q_2(X0)
| ~ q_1(X0)
| p_0(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi1,axiom,
ifeq(q_1(X0),true,ifeq(q_2(X0),true,p_0(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h29,plain,
p_0(a) = true,
inference(hyper_resolution,[status(thm)],[hi1,h26,h24]) ).
cnf(f0,negated_conjecture,
( ~ q_0(X)
| ~ p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_goal_1) ).
fof(f0_nnf,plain,
! [X] :
( ~ q_0(X)
| ~ p_0(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ~ q_0(X)
| ~ p_0(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ q_0(X0)
| ~ p_0(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi64,negated_conjecture,
ifeq(p_0(X0),true,ifeq(q_0(X0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi64,h29,h28]) ).
cnf(t309,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t309]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n015.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 : Fri Sep 25 00:13:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.27/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.27/1.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------